Pith Number

pith:2KUSVG4D

pith:2010:2KUSVG4D3E55EK5ESLJKSC2CWK

not attested not anchored not stored refs pending

Traces in monoidal categories

Peter Teichner, Stephan Stolz

arxiv:1010.4527 v2 · 2010-10-21 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KUSVG4D3E55EK5ESLJKSC2CWK}

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	2026-05-18T04:23:02.782068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a92a9b83d93bd22ba492d2a90b42b2abd8a38815a5e371979e62c96afee862

Aliases

arxiv: 1010.4527 · arxiv_version: 1010.4527v2 · doi: 10.48550/arxiv.1010.4527 · pith_short_12: 2KUSVG4D3E55 · pith_short_16: 2KUSVG4D3E55EK5E · pith_short_8: 2KUSVG4D

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/2KUSVG4D3E55EK5ESLJKSC2CWK \
  | 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: d2a92a9b83d93bd22ba492d2a90b42b2abd8a38815a5e371979e62c96afee862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810f887dfaa047f668facbe86ffe1bd5c3a2f55ddd56ccc3682ac4636039c038",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-10-21T17:22:03Z",
    "title_canon_sha256": "e61cc66100a4937d97a56e6acdfda00db3532eb90a3425533d35d3bad2cc3fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4527",
    "kind": "arxiv",
    "version": 2
  }
}