Pith Number

pith:VH5JL7Y5

pith:2007:VH5JL7Y5TBCT7EANJHZLJ7N5B4

not attested not anchored not stored refs pending

Twisted Hochschild homology and MacLane homology

Teimuraz Pirashvili

arxiv:math/0703376 v2 · 2007-03-13 · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VH5JL7Y5TBCT7EANJHZLJ7N5B4}

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	2026-05-18T02:41:26.533993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fa95ff1d98453f900d49f2b4fdbd0f12607bace419b2a734b62997f1ff66f2

Aliases

arxiv: math/0703376 · arxiv_version: math/0703376v2 · doi: 10.48550/arxiv.math/0703376 · pith_short_12: VH5JL7Y5TBCT · pith_short_16: VH5JL7Y5TBCT7EAN · pith_short_8: VH5JL7Y5

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/VH5JL7Y5TBCT7EANJHZLJ7N5B4 \
  | 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: a9fa95ff1d98453f900d49f2b4fdbd0f12607bace419b2a734b62997f1ff66f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e369ac7d9ae2f017b0d7fcfe1fbd7257f5aa189c091ea38658ac52fe163a277d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-03-13T14:52:01Z",
    "title_canon_sha256": "6245616e48ca1913e54f7062eaa52f2a8600a42e65f6c72d5db398357d07f2f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703376",
    "kind": "arxiv",
    "version": 2
  }
}