Pith Number

pith:P7A4S3EX

pith:2010:P7A4S3EXRDJ7UIEA7UAEVQBXBE

not attested not anchored not stored refs pending

Type theory and homotopy

Steve Awodey

arxiv:1010.1810 v1 · 2010-10-09 · math.CT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7A4S3EXRDJ7UIEA7UAEVQBXBE}

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	2026-05-18T04:39:38.482379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc1c96c9788d3fa2080fd004ac0370906c1910b595714b5865c18589836655c

Aliases

arxiv: 1010.1810 · arxiv_version: 1010.1810v1 · doi: 10.48550/arxiv.1010.1810 · pith_short_12: P7A4S3EXRDJ7 · pith_short_16: P7A4S3EXRDJ7UIEA · pith_short_8: P7A4S3EX

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/P7A4S3EXRDJ7UIEA7UAEVQBXBE \
  | 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: 7fc1c96c9788d3fa2080fd004ac0370906c1910b595714b5865c18589836655c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe93a61ba5d520cd0e1a48a531b1b6f4ecb99b9e9b903e4fa547b6d2d0a7ab5a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-10-09T05:22:59Z",
    "title_canon_sha256": "0f758cbf5a2dec3565ca558b7a2e81565e72eb432aab178ea11b66a42a734613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1810",
    "kind": "arxiv",
    "version": 1
  }
}