Pith Number

pith:AI7FRKA6

pith:2025:AI7FRKA6KEVD7KCMBYUD4NPDZU

not attested not anchored not stored refs pending

Coordinate recognition: General theory, Groups, and other surprises

I. Farah, K. Gannon, P. Touchard

arxiv:2506.13673 v2 · 2025-06-16 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AI7FRKA6KEVD7KCMBYUD4NPDZU}

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	2026-06-24T01:14:57.608744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023e58a81e512a3fa84c0e283e35e3cd3032f82aaf9995be0f4f0c555045e1d1

Aliases

arxiv: 2506.13673 · arxiv_version: 2506.13673v2 · doi: 10.48550/arxiv.2506.13673 · pith_short_12: AI7FRKA6KEVD · pith_short_16: AI7FRKA6KEVD7KCM · pith_short_8: AI7FRKA6

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/AI7FRKA6KEVD7KCMBYUD4NPDZU \
  | 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: 023e58a81e512a3fa84c0e283e35e3cd3032f82aaf9995be0f4f0c555045e1d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce868f2aae3351c17c6d3345c6773f86a14ff9629c7a222d56fb66a6f3559680",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-06-16T16:30:19Z",
    "title_canon_sha256": "f46c68a12837d1ff8a5fc52c47db0aef0be7cb9b5585344ffeec37d7fe3184b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13673",
    "kind": "arxiv",
    "version": 2
  }
}