Pith Number

pith:SFOTWZMS

pith:2025:SFOTWZMSUW7FFXBGABL3JWBSM5

not attested not anchored not stored refs pending

Continuous Hochschild Cohomology and Formality

Patrick Antweiler

arxiv:2512.21090 v2 · 2025-12-24 · math.QA · math-ph · math.CT · 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{SFOTWZMSUW7FFXBGABL3JWBSM5}

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	2026-07-20T01:18:24.300068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915d3b6592a5be52dc260057b4d8326747ce206659f86330a7e18582b3df2af0

Aliases

arxiv: 2512.21090 · arxiv_version: 2512.21090v2 · doi: 10.48550/arxiv.2512.21090 · pith_short_12: SFOTWZMSUW7F · pith_short_16: SFOTWZMSUW7FFXBG · pith_short_8: SFOTWZMS

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/SFOTWZMSUW7FFXBGABL3JWBSM5 \
  | 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: 915d3b6592a5be52dc260057b4d8326747ce206659f86330a7e18582b3df2af0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81c4ce84f42fc8530b9246bcfac591cac74159c3cc7b04c22b87e96242c38a4a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-12-24T10:14:30Z",
    "title_canon_sha256": "45905c9d5cd849d7c84d16d6fd5a4f3b1f1f97d9a00c83609a1fd0eeefaacfa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21090",
    "kind": "arxiv",
    "version": 2
  }
}