Pith Number

pith:FSOOALL7

pith:2001:FSOOALL7TMXGSNCLU3VOGG3A3O

not attested not anchored not stored refs pending

Hilbert schemes and symmetric products: a dictionary

Weiqiang Wang, Zhenbo Qin

arxiv:math/0112070 v2 · 2001-12-07 · math.AG · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSOOALL7TMXGSNCLU3VOGG3A3O}

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	2026-07-04T14:35:48.014600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c9ce02d7f9b2e69344ba6eae31b60db99c2ce68196bf7821cbd34b5625bb0ae

Aliases

arxiv: math/0112070 · arxiv_version: math/0112070v2 · doi: 10.48550/arxiv.math/0112070 · pith_short_12: FSOOALL7TMXG · pith_short_16: FSOOALL7TMXGSNCL · pith_short_8: FSOOALL7

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/FSOOALL7TMXGSNCLU3VOGG3A3O \
  | 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: 2c9ce02d7f9b2e69344ba6eae31b60db99c2ce68196bf7821cbd34b5625bb0ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e617e7657de0b95bb1b2e2337d0ed068fe395c389eb597ab4bc6e095b4de60",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-12-07T03:30:59Z",
    "title_canon_sha256": "4ca2d23d7c523d6d2cf578b8a84287b8467c5df169792bf9def6a1ad8521e093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112070",
    "kind": "arxiv",
    "version": 2
  }
}