Pith Number

pith:NCM3DTVB

pith:2025:NCM3DTVBI34PQU2SEFQYV4DA55

not attested not anchored not stored refs pending

Pre-Calabi-Yau algebras and oriented gravity properad

Sergei Merkulov

arxiv:2501.11158 v2 · 2025-01-19 · 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{NCM3DTVBI34PQU2SEFQYV4DA55}

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	2026-07-05T10:12:25.333541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6899b1cea146f8f8535221618af060ef637f184468204a485fd80169ea91afa0

Aliases

arxiv: 2501.11158 · arxiv_version: 2501.11158v2 · doi: 10.48550/arxiv.2501.11158 · pith_short_12: NCM3DTVBI34P · pith_short_16: NCM3DTVBI34PQU2S · pith_short_8: NCM3DTVB

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/NCM3DTVBI34PQU2SEFQYV4DA55 \
  | 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: 6899b1cea146f8f8535221618af060ef637f184468204a485fd80169ea91afa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eed762518a75c7999bf710d696119a5465efdea3039221da389b0dcbd673ba5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-01-19T20:11:32Z",
    "title_canon_sha256": "463d45883d4c2b8fa33a616796158fd611fef896daae6e6ed26674aee356b682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11158",
    "kind": "arxiv",
    "version": 2
  }
}