Pith Number

pith:CMEOR7MC

pith:2019:CMEOR7MCLIPRMNMS5OC3YYABJQ

not attested not anchored not stored refs pending

Exact Hochschild extensions and deformed Calabi-Yau completions

Kai Wang, Xin Liu, Yang Han

arxiv:1909.02200 v1 · 2019-09-05 · math.RA · math.KT · 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{CMEOR7MCLIPRMNMS5OC3YYABJQ}

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	2026-07-05T00:02:31.777414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1308e8fd825a1f163592eb85bc60014c15469877fcaf8dc214a44b2887ab819d

Aliases

arxiv: 1909.02200 · arxiv_version: 1909.02200v1 · doi: 10.48550/arxiv.1909.02200 · pith_short_12: CMEOR7MCLIPR · pith_short_16: CMEOR7MCLIPRMNMS · pith_short_8: CMEOR7MC

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/CMEOR7MCLIPRMNMS5OC3YYABJQ \
  | 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: 1308e8fd825a1f163592eb85bc60014c15469877fcaf8dc214a44b2887ab819d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "497c3f48fc1d8a03e2c975ec6b9a217ff632d40c04ac57b3bff9b121424ee1a5",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-09-05T03:53:12Z",
    "title_canon_sha256": "6e7e371415d720d504a59c0d4ab0ae37e0f2a24f86851618bd8b04ff5c3beb76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02200",
    "kind": "arxiv",
    "version": 1
  }
}