Pith Number

pith:CMMG5ECN

pith:2014:CMMG5ECNJHHT63POFM4J6M6SUP

not attested not anchored not stored refs pending

Norm of the Whittaker vector of the deformed Virasoro algebra

Shintarou Yanagida

arxiv:1411.0462 v1 · 2014-11-03 · math.QA · math-ph · math.MP · 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{CMMG5ECNJHHT63POFM4J6M6SUP}

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	2026-05-18T02:38:45.425170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13186e904d49cf3f6dee2b389f33d2a3f322f70af07e67c9f79b7f57784571b9

Aliases

arxiv: 1411.0462 · arxiv_version: 1411.0462v1 · doi: 10.48550/arxiv.1411.0462 · pith_short_12: CMMG5ECNJHHT · pith_short_16: CMMG5ECNJHHT63PO · pith_short_8: CMMG5ECN

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/CMMG5ECNJHHT63POFM4J6M6SUP \
  | 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: 13186e904d49cf3f6dee2b389f33d2a3f322f70af07e67c9f79b7f57784571b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349898c274ff15653c2d5f25549b55cc2e84105da85dafed64fd00d4333cf3f9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-03T12:40:53Z",
    "title_canon_sha256": "bc33a23b254a869f0d0579fbe11f0ff700df355f9308b82d8c0506d2a4497115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0462",
    "kind": "arxiv",
    "version": 1
  }
}