Pith Number

pith:EXONK3KC

pith:2012:EXONK3KCYYO3M3BV26WDWJWPWS

not attested not anchored not stored refs pending

Universal operations in Hochschild homology

Nathalie Wahl

arxiv:1212.6498 v2 · 2012-12-28 · math.AT · 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{EXONK3KCYYO3M3BV26WDWJWPWS}

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	2026-05-18T00:59:59.369043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25dcd56d42c61db66c35d7ac3b26cfb488c6125a9d959011f531f31788a3cadd

Aliases

arxiv: 1212.6498 · arxiv_version: 1212.6498v2 · doi: 10.48550/arxiv.1212.6498 · pith_short_12: EXONK3KCYYO3 · pith_short_16: EXONK3KCYYO3M3BV · pith_short_8: EXONK3KC

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/EXONK3KCYYO3M3BV26WDWJWPWS \
  | 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: 25dcd56d42c61db66c35d7ac3b26cfb488c6125a9d959011f531f31788a3cadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b873e0069ba8faf4b173e3cd1670c03f008b0c4ea9962a01781fded302f5f1",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-28T09:47:11Z",
    "title_canon_sha256": "50d34412ce5ced49b05cafec7a5516fac489c5e2b267730a6a52eb61b9142b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6498",
    "kind": "arxiv",
    "version": 2
  }
}