Pith Number

pith:Y433MAKS

pith:2015:Y433MAKS73JUMLLLY4FHYKYZ27

not attested not anchored not stored refs pending

Verdier quotients of stable quasi-categories are localizations

Brad Drew

arxiv:1511.08287 v1 · 2015-11-26 · 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{Y433MAKS73JUMLLLY4FHYKYZ27}

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	2026-05-18T01:25:54.556895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c737b60152fed3462d6bc70a7c2b19d7c37c1978b4ec955e5e574b7a27ddc530

Aliases

arxiv: 1511.08287 · arxiv_version: 1511.08287v1 · doi: 10.48550/arxiv.1511.08287 · pith_short_12: Y433MAKS73JU · pith_short_16: Y433MAKS73JUMLLL · pith_short_8: Y433MAKS

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/Y433MAKS73JUMLLLY4FHYKYZ27 \
  | 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: c737b60152fed3462d6bc70a7c2b19d7c37c1978b4ec955e5e574b7a27ddc530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d41f17f94cf9a37a30be9cf878148c5fff90ef5b4df2083dbae73f1348c894c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-11-26T04:12:20Z",
    "title_canon_sha256": "70a74bca08c3b9e1a52799f69d22f47a614e31cb8e23d69382cbaa70072c8ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08287",
    "kind": "arxiv",
    "version": 1
  }
}