Pith Number

pith:Y4F5QREY

pith:2012:Y4F5QREYFD4KZWIQMHDYOFHU57

not attested not anchored not stored refs pending

Thomason cohomology of categories

Andrew Tonks, Frank Neumann, Imma Galvez-Carrillo

arxiv:1208.2889 v1 · 2012-08-14 · math.KT · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4F5QREYFD4KZWIQMHDYOFHU57}

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	2026-05-18T02:52:56.315270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70bd8449828f8acd91061c78714f4effb40eac5b1acd241ed4e09efcb1ff44a

Aliases

arxiv: 1208.2889 · arxiv_version: 1208.2889v1 · doi: 10.48550/arxiv.1208.2889 · pith_short_12: Y4F5QREYFD4K · pith_short_16: Y4F5QREYFD4KZWIQ · pith_short_8: Y4F5QREY

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/Y4F5QREYFD4KZWIQMHDYOFHU57 \
  | 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: c70bd8449828f8acd91061c78714f4effb40eac5b1acd241ed4e09efcb1ff44a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b1ee43e49df595df93cb35d72d6a9e6b5a052c49d29cc6c3a18fc7ea2e78a8",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-08-14T14:54:46Z",
    "title_canon_sha256": "8fc44a21e9aedfbfc05d0b9407fd86f3394706069e6eaeedca25a6e994e2b8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2889",
    "kind": "arxiv",
    "version": 1
  }
}