Pith Number

pith:HMVSOPDJ

pith:2026:HMVSOPDJTEL5BRZQIBLI47AKZB

not attested not anchored not stored refs pending

Bimodules in differential polynomial rings

Johan \"Oinert

arxiv:2607.02311 v1 · 2026-07-02 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMVSOPDJTEL5BRZQIBLI47AKZB}

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	2026-07-03T01:17:48.144136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b2b273c699917d0c73040568e7c0ac87021a70aa845c3f8ad8914313098a606

Aliases

arxiv: 2607.02311 · arxiv_version: 2607.02311v1 · doi: 10.48550/arxiv.2607.02311 · pith_short_12: HMVSOPDJTEL5 · pith_short_16: HMVSOPDJTEL5BRZQ · pith_short_8: HMVSOPDJ

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/HMVSOPDJTEL5BRZQIBLI47AKZB \
  | 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: 3b2b273c699917d0c73040568e7c0ac87021a70aa845c3f8ad8914313098a606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508e733bf8a670ad9f177af5b65abbd1e01074a9b2752be053270de39474f956",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-02T15:24:48Z",
    "title_canon_sha256": "f11d9e53575a4fd4a107b9d5f069f1192bd77b97d0cf6d3db3c2d0ced95b892d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02311",
    "kind": "arxiv",
    "version": 1
  }
}