Pith Number

pith:4NZ5O6BZ

pith:2009:4NZ5O6BZAEAIHRAS6QTR5MLRHC

not attested not anchored not stored refs pending

On the structure of simplicial categories associated to quasi-categories

Emily Riehl

arxiv:0912.4809 v2 · 2009-12-24 · 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{4NZ5O6BZAEAIHRAS6QTR5MLRHC}

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	2026-05-18T04:25:26.079554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e373d77839010083c412f4271eb17138b23cc97bbb3a0784e5720cf6d22776fd

Aliases

arxiv: 0912.4809 · arxiv_version: 0912.4809v2 · doi: 10.48550/arxiv.0912.4809 · pith_short_12: 4NZ5O6BZAEAI · pith_short_16: 4NZ5O6BZAEAIHRAS · pith_short_8: 4NZ5O6BZ

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/4NZ5O6BZAEAIHRAS6QTR5MLRHC \
  | 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: e373d77839010083c412f4271eb17138b23cc97bbb3a0784e5720cf6d22776fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0cce415d8dee88b83a1d3b9cb6a94922ac8bfef70afd119d6e6ce22ce832032",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-12-24T08:34:33Z",
    "title_canon_sha256": "7ea0537c12d75ffafc042e86f9b6a8b6d349b03dbb036401c46a1aaa32bbb924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4809",
    "kind": "arxiv",
    "version": 2
  }
}