Pith Number

pith:WWB6EEAN

pith:2009:WWB6EEANNY3GXWYQ2XOJ7IIKLI

not attested not anchored not stored refs pending

Rigidification of quasi-categories

Daniel Dugger, David I. Spivak

arxiv:0910.0814 v1 · 2009-10-05 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWB6EEANNY3GXWYQ2XOJ7IIKLI}

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.

Cited by

1 paper in Pith

Entanglement of Sections: The pushout of entangled and parameterized quantum information

Receipt and verification

First computed	2026-05-18T02:41:51.131169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b583e2100d6e366bdb10d5dc9fa10a5a088f22e4dd3e0e98f35d1b3ecc504c04

Aliases

arxiv: 0910.0814 · arxiv_version: 0910.0814v1 · doi: 10.48550/arxiv.0910.0814 · pith_short_12: WWB6EEANNY3G · pith_short_16: WWB6EEANNY3GXWYQ · pith_short_8: WWB6EEAN

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/WWB6EEANNY3GXWYQ2XOJ7IIKLI \
  | 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: b583e2100d6e366bdb10d5dc9fa10a5a088f22e4dd3e0e98f35d1b3ecc504c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9087781888c951b1af606d7bed4267e57f33d07ebd617c09f45dcb3fea389c99",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-10-05T18:02:56Z",
    "title_canon_sha256": "4590e8b2e5b8cd54669996708c65e4c15b0d032130864aa6899ac7244125e851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0814",
    "kind": "arxiv",
    "version": 1
  }
}