Pith Number

pith:M2RIAT47

pith:2011:M2RIAT47VF4ITGAZSXIB5WTBRC

not attested not anchored not stored refs pending

Flatness and Semi-Rigidity of Vertex Operator Algebras

Masahiko Miyamoto

arxiv:1104.4675 v1 · 2011-04-25 · 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{M2RIAT47VF4ITGAZSXIB5WTBRC}

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	2026-05-18T04:23:33.645638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a2804f9fa97889981995d01eda6188bb089fe95855093c6cd4f7abcf81d695

Aliases

arxiv: 1104.4675 · arxiv_version: 1104.4675v1 · doi: 10.48550/arxiv.1104.4675 · pith_short_12: M2RIAT47VF4I · pith_short_16: M2RIAT47VF4ITGAZ · pith_short_8: M2RIAT47

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/M2RIAT47VF4ITGAZSXIB5WTBRC \
  | 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: 66a2804f9fa97889981995d01eda6188bb089fe95855093c6cd4f7abcf81d695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9852819a2f1cf9c9f8b21a2ff8a40ab3144dfeb7badab2ddfa71a79ed50fd8f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-04-25T04:18:36Z",
    "title_canon_sha256": "1c32885b2220debb33011632771ebb37475a807878c875ecfc3ad9d8faf9766d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4675",
    "kind": "arxiv",
    "version": 1
  }
}