Pith Number

pith:B7B5ORQG

pith:2026:B7B5ORQGLPQCXHWILFU45IIEJR

not attested not anchored not stored refs pending

M-modules

Bernard Le Stum

arxiv:2607.10721 v1 · 2026-07-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7B5ORQGLPQCXHWILFU45IIEJR}

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	2026-07-14T01:21:36.236129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc3d746065be02b9ec85969cea1044c47cd21922ddc7c895c0000bcbfea8215

Aliases

arxiv: 2607.10721 · arxiv_version: 2607.10721v1 · doi: 10.48550/arxiv.2607.10721 · pith_short_12: B7B5ORQGLPQC · pith_short_16: B7B5ORQGLPQCXHWI · pith_short_8: B7B5ORQG

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/B7B5ORQGLPQCXHWILFU45IIEJR \
  | 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: 0fc3d746065be02b9ec85969cea1044c47cd21922ddc7c895c0000bcbfea8215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be5361c8bfb89370655908660661db58b410bc0b0c851983b726af2f498a849a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-12T11:33:51Z",
    "title_canon_sha256": "092c39ca886da32ebb4bcfda66f6d02aea4c0c2650afcddc0fe031b835b22296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10721",
    "kind": "arxiv",
    "version": 1
  }
}