Pith Number

pith:7OFKXOBI

pith:2011:7OFKXOBIPKPB4W27342RZC72VK

not attested not anchored not stored refs pending

Definable orthogonality classes in accessible categories are small

A. R. D. Mathias, Carles Casacuberta, Jiri Rosicky, Joan Bagaria

arxiv:1101.2792 v4 · 2011-01-14 · math.CT · math.AT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OFKXOBIPKPB4W27342RZC72VK}

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	2026-05-18T03:39:29.391412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8aabb8287a9e1e5b5fdf351c8bfaaa888b47ba5f80cb2ff865dba0f95ba3e4

Aliases

arxiv: 1101.2792 · arxiv_version: 1101.2792v4 · doi: 10.48550/arxiv.1101.2792 · pith_short_12: 7OFKXOBIPKPB · pith_short_16: 7OFKXOBIPKPB4W27 · pith_short_8: 7OFKXOBI

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/7OFKXOBIPKPB4W27342RZC72VK \
  | 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: fb8aabb8287a9e1e5b5fdf351c8bfaaa888b47ba5f80cb2ff865dba0f95ba3e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b8cb0c9b947d51565238c729c582c4f5f33e7b5c2503a8594feeaf19e85b7a",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-01-14T12:47:46Z",
    "title_canon_sha256": "832cf70c9347382f2506bcca82b945c8509a1a95bc8a9e2e33b0c3712bd93f16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2792",
    "kind": "arxiv",
    "version": 4
  }
}