Pith Number

pith:YY2PL7GM

pith:2007:YY2PL7GMJPERAXTKF25A27HPXB

not attested not anchored not stored refs pending

Lawvere-Tierney sheaves in algebraic set theory

Michael A. Warren, Nicola Gambino, Peter L. Lumsdaine, Steve Awodey

arxiv:0711.1529 v3 · 2007-11-09 · math.LO · 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{YY2PL7GMJPERAXTKF25A27HPXB}

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	2026-05-18T02:33:32.867100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c634f5fccc4bc9105e6a2eba0d7cefb876c926f4ca26342602c1ffcec8511d63

Aliases

arxiv: 0711.1529 · arxiv_version: 0711.1529v3 · doi: 10.48550/arxiv.0711.1529 · pith_short_12: YY2PL7GMJPER · pith_short_16: YY2PL7GMJPERAXTK · pith_short_8: YY2PL7GM

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/YY2PL7GMJPERAXTKF25A27HPXB \
  | 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: c634f5fccc4bc9105e6a2eba0d7cefb876c926f4ca26342602c1ffcec8511d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e6f16ddba23a3221f0728c80ab1008d0bbe3fc0b391838ae8de7309e9662e7",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2007-11-09T19:29:19Z",
    "title_canon_sha256": "7451355a5f64e2aa7b0efd020acc1b6908fd86ccc8e69e3730cc25fb6cf7b5af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1529",
    "kind": "arxiv",
    "version": 3
  }
}