Pith Number

pith:WNJCY3RU

pith:2011:WNJCY3RU2JLMUYDUVZPQSW4BUJ

not attested not anchored not stored refs pending

To the multidimensional tame symbol

Denis Osipov

arxiv:1105.1362 v1 · 2011-05-06 · math.AG · 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{WNJCY3RU2JLMUYDUVZPQSW4BUJ}

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	2026-05-18T04:22:39.628722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3522c6e34d256ca6074ae5f095b81a272204606e92252e1ad9606737c677c45

Aliases

arxiv: 1105.1362 · arxiv_version: 1105.1362v1 · doi: 10.48550/arxiv.1105.1362 · pith_short_12: WNJCY3RU2JLM · pith_short_16: WNJCY3RU2JLMUYDU · pith_short_8: WNJCY3RU

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/WNJCY3RU2JLMUYDUVZPQSW4BUJ \
  | 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: b3522c6e34d256ca6074ae5f095b81a272204606e92252e1ad9606737c677c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf60c68ac0ece219f1d76d0bdc93ecf4e916aaa0dc1b3eb89a6f76cab85e9851",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-06T19:27:44Z",
    "title_canon_sha256": "5959e38784cc1f2d066b586c82af69059352d1539926946b405ffa97012dc9f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1362",
    "kind": "arxiv",
    "version": 1
  }
}