Pith Number

pith:CEJTIGSB

pith:2009:CEJTIGSBQQBZJM2FB5WIU3SMLA

not attested not anchored not stored refs pending

Mapping spaces in Quasi-categories

Daniel Dugger, David I. Spivak

arxiv:0911.0469 v1 · 2009-11-03 · math.AT · 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{CEJTIGSBQQBZJM2FB5WIU3SMLA}

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	2026-05-18T02:41:51.070498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1113341a41840394b3450f6c8a6e4c58121695b7cbe37a9e9e20ef5ae65421ef

Aliases

arxiv: 0911.0469 · arxiv_version: 0911.0469v1 · doi: 10.48550/arxiv.0911.0469 · pith_short_12: CEJTIGSBQQBZ · pith_short_16: CEJTIGSBQQBZJM2F · pith_short_8: CEJTIGSB

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/CEJTIGSBQQBZJM2FB5WIU3SMLA \
  | 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: 1113341a41840394b3450f6c8a6e4c58121695b7cbe37a9e9e20ef5ae65421ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7e7b2472c66e35b36c53ee1ddc992b39d02c079874d402aa69ec357af92dc4",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-11-03T01:35:34Z",
    "title_canon_sha256": "7a06cbcc3fb3c965a7d6fc19413a2a8e39b554a753f4c1bb25ca240cb3011046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0469",
    "kind": "arxiv",
    "version": 1
  }
}