Pith Number

pith:GAY3CT6D

pith:2012:GAY3CT6D42AQP7OHFM2JYFW7WB

not attested not anchored not stored refs pending

A model structure on categories related to categories of complexes

Volodymyr Lyubashenko

arxiv:1205.6066 v2 · 2012-05-28 · 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{GAY3CT6D42AQP7OHFM2JYFW7WB}

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	2026-05-18T03:40:16.120293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3031b14fc3e68107fdc72b349c16dfb05f738820dea040c45dded398ffc43ee7

Aliases

arxiv: 1205.6066 · arxiv_version: 1205.6066v2 · doi: 10.48550/arxiv.1205.6066 · pith_short_12: GAY3CT6D42AQ · pith_short_16: GAY3CT6D42AQP7OH · pith_short_8: GAY3CT6D

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/GAY3CT6D42AQP7OHFM2JYFW7WB \
  | 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: 3031b14fc3e68107fdc72b349c16dfb05f738820dea040c45dded398ffc43ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ac05d3e2dc22032481c33b19fe00672de87ac0495f7a52d8ce8d23f97e6f6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-05-28T09:50:09Z",
    "title_canon_sha256": "3aaaf6f8f21c0c3ffeb32622353b685ba18d9ec8cc69fc114d98be6d968f1444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6066",
    "kind": "arxiv",
    "version": 2
  }
}