Pith Number

pith:F66T7ZQM

pith:2018:F66T7ZQMCRQXJOCZV6CMNIQVCV

not attested not anchored not stored refs pending

Purity in categories of sheaves

Alexander Slavik, Mike Prest

arxiv:1809.08981 v2 · 2018-09-24 · math.AG · math.CT · math.LO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F66T7ZQMCRQXJOCZV6CMNIQVCV}

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	2026-05-17T23:44:07.614863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fbd3fe60c146174b859af84c6a2151544f51f7dc9965f871952cba2fe9fb528

Aliases

arxiv: 1809.08981 · arxiv_version: 1809.08981v2 · doi: 10.48550/arxiv.1809.08981 · pith_short_12: F66T7ZQMCRQX · pith_short_16: F66T7ZQMCRQXJOCZ · pith_short_8: F66T7ZQM

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/F66T7ZQMCRQXJOCZV6CMNIQVCV \
  | 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: 2fbd3fe60c146174b859af84c6a2151544f51f7dc9965f871952cba2fe9fb528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c155aa742947d4eef3e4dce1949df0a9a5c9017012bcb0d2ffcd47c2511547",
    "cross_cats_sorted": [
      "math.CT",
      "math.LO",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-24T15:00:09Z",
    "title_canon_sha256": "4176ec2bdd766e504054618bf733f343a708fcfa9e7a43ce5adf8efad1368fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08981",
    "kind": "arxiv",
    "version": 2
  }
}