Pith Number

pith:OBYBPCGA

pith:2025:OBYBPCGABLB5GF3JBK66L72XAW

not attested not anchored not stored refs pending

A decisive Theorem (Un th\'eor\`eme d\'ecisif)

Henri Lombardi

arxiv:2506.07098 v1 · 2025-06-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBYBPCGABLB5GF3JBK66L72XAW}

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	2026-07-05T11:18:01.198045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70701788c00ac3d317690abde5ff5705af2d1f7e694763dc12c63f461a71cdac

Aliases

arxiv: 2506.07098 · arxiv_version: 2506.07098v1 · doi: 10.48550/arxiv.2506.07098 · pith_short_12: OBYBPCGABLB5 · pith_short_16: OBYBPCGABLB5GF3J · pith_short_8: OBYBPCGA

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/OBYBPCGABLB5GF3JBK66L72XAW \
  | 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: 70701788c00ac3d317690abde5ff5705af2d1f7e694763dc12c63f461a71cdac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2848720f1a91374663227d1430c6dfe54bcf6c974a880ce55ee7a98ddc8c463a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-06-08T11:52:58Z",
    "title_canon_sha256": "df237664e999a947eb12e1623774223acf529d20005048d46b466c13e83b5bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07098",
    "kind": "arxiv",
    "version": 1
  }
}