Pith Number

pith:J3YERBKB

pith:2006:J3YERBKBWVJEMI5AJRBQAJFYTA

not attested not anchored not stored refs pending

Restriction categories III: colimits, partial limits, and extensivity

J.R.B. Cockett, Stephen Lack

arxiv:math/0610500 v1 · 2006-10-16 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3YERBKBWVJEMI5AJRBQAJFYTA}

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	2026-05-18T04:41:06.134476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef0488541b5524623a04c430024b898196c8e2c4d34ad549f5952cab13a4143

Aliases

arxiv: math/0610500 · arxiv_version: math/0610500v1 · doi: 10.48550/arxiv.math/0610500 · pith_short_12: J3YERBKBWVJE · pith_short_16: J3YERBKBWVJEMI5A · pith_short_8: J3YERBKB

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/J3YERBKBWVJEMI5AJRBQAJFYTA \
  | 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: 4ef0488541b5524623a04c430024b898196c8e2c4d34ad549f5952cab13a4143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30757c54c28b75290939746ea4945cad6993c9776e1895811e58243d27755a6e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2006-10-16T23:11:04Z",
    "title_canon_sha256": "322b06889be4641bb8205c13a1e7bde0252e67e89138d3b1015ff69eaa9e3443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610500",
    "kind": "arxiv",
    "version": 1
  }
}