Pith Number

pith:2UCPOBCP

pith:2012:2UCPOBCPR56I6CVVDILM7A4SZL

not attested not anchored not stored refs pending

A motivated proof of Gordon's identities

James Lepowsky, Minxian Zhu

arxiv:1205.6570 v1 · 2012-05-30 · math.CO · 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{2UCPOBCPR56I6CVVDILM7A4SZL}

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	2026-05-18T03:54:38.526007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d504f7044f8f7c8f0ab51a16cf8392caeea504843b14a08b33782947dbb419a4

Aliases

arxiv: 1205.6570 · arxiv_version: 1205.6570v1 · doi: 10.48550/arxiv.1205.6570 · pith_short_12: 2UCPOBCPR56I · pith_short_16: 2UCPOBCPR56I6CVV · pith_short_8: 2UCPOBCP

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/2UCPOBCPR56I6CVVDILM7A4SZL \
  | 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: d504f7044f8f7c8f0ab51a16cf8392caeea504843b14a08b33782947dbb419a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a36445ee9e35dbbe2e50bda9c7b442aa2f02620e150aeb7dfa9c3aa2911038",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-30T08:05:09Z",
    "title_canon_sha256": "eb78fc3192edb12b97dafbdcfe51430334a4815632eae927bc778af330e82586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6570",
    "kind": "arxiv",
    "version": 1
  }
}