Pith Number

pith:V2LSAOYO

pith:2000:V2LSAOYOFXG7SAPTKG7YRQIE4O

not attested not anchored not stored refs pending

On indecomposable modules over the Virasoro algebra

Yucai Su

arxiv:math/0012013 v1 · 2000-12-03 · math.QA · 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{V2LSAOYOFXG7SAPTKG7YRQIE4O}

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	2026-05-18T01:38:30.104226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae97203b0e2dcdf901f351bf88c104e3bc6c66a862c3eb012f496c2884f73258

Aliases

arxiv: math/0012013 · arxiv_version: math/0012013v1 · doi: 10.48550/arxiv.math/0012013 · pith_short_12: V2LSAOYOFXG7 · pith_short_16: V2LSAOYOFXG7SAPT · pith_short_8: V2LSAOYO

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/V2LSAOYOFXG7SAPTKG7YRQIE4O \
  | 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: ae97203b0e2dcdf901f351bf88c104e3bc6c66a862c3eb012f496c2884f73258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea7b08b70c1a4a445d0f2e778fa8e896338b86d37227424a457c4988b20e646",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-12-03T19:03:31Z",
    "title_canon_sha256": "0d74f45ed643bc7dbf6778db73ed2b3dd8bdc5a668f07782a99a1b8411e88f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012013",
    "kind": "arxiv",
    "version": 1
  }
}