Pith Number

pith:BK7BA5FJ

pith:2002:BK7BA5FJPWDSKW6WOK22ZXVMXV

not attested not anchored not stored refs pending

Fermionic expressions for minimal model Virasoro characters

Trevor A. Welsh

arxiv:math/0212154 v3 · 2002-12-11 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BK7BA5FJPWDSKW6WOK22ZXVMXV}

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.

Cited by

1 paper in Pith

From Tensor Algebras to Hyperbolic Kac-Moody Algebras

Receipt and verification

First computed	2026-07-04T17:17:32.306281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0abe1074a97d87255bd672b5acdeacbd71bde0873b6fcfff0ca19c012aaed5dc

Aliases

arxiv: math/0212154 · arxiv_version: math/0212154v3 · doi: 10.48550/arxiv.math/0212154 · pith_short_12: BK7BA5FJPWDS · pith_short_16: BK7BA5FJPWDSKW6W · pith_short_8: BK7BA5FJ

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/BK7BA5FJPWDSKW6WOK22ZXVMXV \
  | 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: 0abe1074a97d87255bd672b5acdeacbd71bde0873b6fcfff0ca19c012aaed5dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3275bf80f0d400b04d4914f9c48cdb8216257893152d2903796cf9fbd62ea8f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2002-12-11T12:48:18Z",
    "title_canon_sha256": "166e8681570db3595090a40f4969ea192a3a9bf57e772d4ffe57a554f4b8f1da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212154",
    "kind": "arxiv",
    "version": 3
  }
}