Pith Number

pith:S3K7DSRZ

pith:2000:S3K7DSRZDWEKLYYSKFI2K42VXB

not attested not anchored not stored refs pending

Vertex operator algebras, generalized doubles and dual pairs

C. Dong, G. Yamskulna

arxiv:math/0006005 v1 · 2000-06-01 · 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{S3K7DSRZDWEKLYYSKFI2K42VXB}

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	2026-07-04T14:34:32.305141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96d5f1ca391d88a5e3125151a57355b86b864f6f59bb196f99e395af498a67a8

Aliases

arxiv: math/0006005 · arxiv_version: math/0006005v1 · doi: 10.48550/arxiv.math/0006005 · pith_short_12: S3K7DSRZDWEK · pith_short_16: S3K7DSRZDWEKLYYS · pith_short_8: S3K7DSRZ

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/S3K7DSRZDWEKLYYSKFI2K42VXB \
  | 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: 96d5f1ca391d88a5e3125151a57355b86b864f6f59bb196f99e395af498a67a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2811ff971333db4975c2bec805151f5844427b135339f79a550031a47fa5c68d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-06-01T20:38:06Z",
    "title_canon_sha256": "0583a59fc1917833df87641234c2ff3511776a07ac94b1b0ce313b5765e206a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0006005",
    "kind": "arxiv",
    "version": 1
  }
}