Pith Number

pith:ADLXL4JD

pith:2006:ADLXL4JDV5XENQELCNSEEXE3JJ

not attested not anchored not stored refs pending

Calculus of functors and model categories

Boris Chorny, Georg Biedermann, Oliver R\"ondigs

arxiv:math/0601221 v2 · 2006-01-10 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADLXL4JDV5XENQELCNSEEXE3JJ}

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	2026-05-18T03:13:43.955136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00d775f123af6e46c08b1364425c9b4a603c65e327652e8afd3b20a8b6077884

Aliases

arxiv: math/0601221 · arxiv_version: math/0601221v2 · doi: 10.48550/arxiv.math/0601221 · pith_short_12: ADLXL4JDV5XE · pith_short_16: ADLXL4JDV5XENQEL · pith_short_8: ADLXL4JD

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/ADLXL4JDV5XENQELCNSEEXE3JJ \
  | 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: 00d775f123af6e46c08b1364425c9b4a603c65e327652e8afd3b20a8b6077884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea09bfa76bebbfdc5675dc2aa88d2c6b5ee81fe81ffef51888915b52c8185244",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-01-10T15:36:49Z",
    "title_canon_sha256": "ef4d4cff1ff80f35ab8f5de0b39080820e01127c1a3bf5f4b7afa22e9ba1f8de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601221",
    "kind": "arxiv",
    "version": 2
  }
}