Pith Number

pith:3LKYWO44

pith:2001:3LKYWO442MNPQKRA5CDGWQGXYQ

not attested not anchored not stored refs pending

Homotopy Ends and Thomason Model Categories

Charles Weibel

arxiv:math/0106052 v1 · 2001-06-07 · math.AT · 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{3LKYWO442MNPQKRA5CDGWQGXYQ}

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	2026-05-18T01:08:36.242914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad58b3b9cd31af82a20e8866b40d7c42e913a49ef3fe86c08c47abef8a193b4

Aliases

arxiv: math/0106052 · arxiv_version: math/0106052v1 · doi: 10.48550/arxiv.math/0106052 · pith_short_12: 3LKYWO442MNP · pith_short_16: 3LKYWO442MNPQKRA · pith_short_8: 3LKYWO44

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/3LKYWO442MNPQKRA5CDGWQGXYQ \
  | 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: dad58b3b9cd31af82a20e8866b40d7c42e913a49ef3fe86c08c47abef8a193b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0900c31002978130bf0df8adfeeaf116f57e5c1b4004b8dc6be06ad97bd89660",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-06-07T20:36:46Z",
    "title_canon_sha256": "560017e191e5d80d814984979a17982fd7de68034f48a3164cb47f9dd9373e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106052",
    "kind": "arxiv",
    "version": 1
  }
}