Pith Number

pith:AB4V6B74

pith:2010:AB4V6B74WYE7SBGM67JS5CSHMR

not attested not anchored not stored refs pending

Factoring Permutation Matrices Into a Product of Tridiagonal Matrices

Martianus Frederic Ezerman, Michael Daniel Samson

arxiv:1007.3467 v1 · 2010-07-20 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AB4V6B74WYE7SBGM67JS5CSHMR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T17:31:59.282516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00795f07fcb609f904ccf7d32e8a47644c6bf69b77207212295cd4969ca0d866

Aliases

arxiv: 1007.3467 · arxiv_version: 1007.3467v1 · doi: 10.48550/arxiv.1007.3467 · pith_short_12: AB4V6B74WYE7 · pith_short_16: AB4V6B74WYE7SBGM · pith_short_8: AB4V6B74

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AB4V6B74WYE7SBGM67JS5CSHMR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 00795f07fcb609f904ccf7d32e8a47644c6bf69b77207212295cd4969ca0d866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ec41ed66a81680b15bacb40b43d6e83034f9357ae688226fa70eaf922f21f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-20T17:32:41Z",
    "title_canon_sha256": "31c02d83984d10d8099c86a55b98cdae162567ca6b747d6a1b46ff0ab1b36134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3467",
    "kind": "arxiv",
    "version": 1
  }
}