Pith Number

pith:V5TWRZQI

pith:2010:V5TWRZQIBZJDXSWGEXVDSN5WPW

not attested not anchored not stored refs pending

Segal Enriched Categories I

Hugo V. Bacard

arxiv:1009.3673 v1 · 2010-09-20 · math.CT · math.AG · math.AT · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5TWRZQIBZJDXSWGEXVDSN5WPW}

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	2026-05-18T04:40:44.224825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af6768e6080e523bcac625ea3937b67daf15f484fc0c04f454674f09ab5c704a

Aliases

arxiv: 1009.3673 · arxiv_version: 1009.3673v1 · doi: 10.48550/arxiv.1009.3673 · pith_short_12: V5TWRZQIBZJD · pith_short_16: V5TWRZQIBZJDXSWG · pith_short_8: V5TWRZQI

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/V5TWRZQIBZJDXSWGEXVDSN5WPW \
  | 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: af6768e6080e523bcac625ea3937b67daf15f484fc0c04f454674f09ab5c704a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e3e21785b366af3039b313e25e83f8aba9a51e8d4232346bc2f8920c39ddf6",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-09-20T00:25:43Z",
    "title_canon_sha256": "c35d4a77054f68facf744f91afc4044e19378e10b17435c0e6fc24518b0a3d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3673",
    "kind": "arxiv",
    "version": 1
  }
}