Pith Number

pith:UPLDFQHU

pith:2002:UPLDFQHULJ4EUAAAH62C6QNOWB

not attested not anchored not stored refs pending

Elliptic genus and vertex operator algebras

Chongying Dong, Kefeng Liu, Xiaonan Ma

arxiv:math/0201135 v2 · 2002-01-15 · math.DG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPLDFQHULJ4EUAAAH62C6QNOWB}

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	2026-05-18T02:41:33.143613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d632c0f45a784a00003fb42f41aeb06e13d1d7924629626b30b4b29e85a6b0

Aliases

arxiv: math/0201135 · arxiv_version: math/0201135v2 · doi: 10.48550/arxiv.math/0201135 · pith_short_12: UPLDFQHULJ4E · pith_short_16: UPLDFQHULJ4EUAAA · pith_short_8: UPLDFQHU

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/UPLDFQHULJ4EUAAAH62C6QNOWB \
  | 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: a3d632c0f45a784a00003fb42f41aeb06e13d1d7924629626b30b4b29e85a6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215416e7aafca8fcfe431bc3d20bcb9a0d63000f65fe70cd8b3da382c26012b9",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-01-15T18:35:59Z",
    "title_canon_sha256": "df127f89f48506e06225e910fd589559912ca840ee699ddb2efc717983f6828e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201135",
    "kind": "arxiv",
    "version": 2
  }
}