Pith Number

pith:MJVWNDFO

pith:2016:MJVWNDFOO7PND2YVMLZOWB3X47

not attested not anchored not stored refs pending

Genus Two Virasoro Correlation Functions for Vertex Operator Algebras

Michael P.Tuite, Thomas Gilroy

arxiv:1612.02060 v1 · 2016-12-06 · 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{MJVWNDFOO7PND2YVMLZOWB3X47}

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	2026-05-18T00:55:35.377913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

626b668cae77ded1eb1562f2eb0777e7f31e6c994b0b3de67dc0c26a4d33f0ac

Aliases

arxiv: 1612.02060 · arxiv_version: 1612.02060v1 · doi: 10.48550/arxiv.1612.02060 · pith_short_12: MJVWNDFOO7PN · pith_short_16: MJVWNDFOO7PND2YV · pith_short_8: MJVWNDFO

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/MJVWNDFOO7PND2YVMLZOWB3X47 \
  | 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: 626b668cae77ded1eb1562f2eb0777e7f31e6c994b0b3de67dc0c26a4d33f0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c6a33e8ec5873f5827be301a0d00cff9ba10f245270eff6f1a0a76cec8939e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-06T22:34:36Z",
    "title_canon_sha256": "3499dddf64249a55206d07db020505a538b5095728cfdd01f937c6dabb10ed5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02060",
    "kind": "arxiv",
    "version": 1
  }
}