Pith Number

pith:GO7WVP7M

pith:2026:GO7WVP7MPPM7QKH6UD3OFQHIOL

not attested not anchored not stored refs pending

To be or not to be local

Benjamin Schraen, Christophe Breuil, Florian Herzig, Karol Koziol, Stefano Morra, Sug Woo Shin, Yongquan Hu

arxiv:2606.28818 v1 · 2026-06-27 · math.NT · 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{GO7WVP7MPPM7QKH6UD3OFQHIOL}

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	2026-06-30T01:16:53.156141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33bf6abfec7bd9f828fea0f6e2c0e872dd22d857c0ef4cd6dcab119b7ed9d700

Aliases

arxiv: 2606.28818 · arxiv_version: 2606.28818v1 · doi: 10.48550/arxiv.2606.28818 · pith_short_12: GO7WVP7MPPM7 · pith_short_16: GO7WVP7MPPM7QKH6 · pith_short_8: GO7WVP7M

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/GO7WVP7MPPM7QKH6UD3OFQHIOL \
  | 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: 33bf6abfec7bd9f828fea0f6e2c0e872dd22d857c0ef4cd6dcab119b7ed9d700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d636baaaafb1d5f5d24708925dc104524a655b0334c414bfefd5787cab20b279",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-27T09:03:37Z",
    "title_canon_sha256": "fc6b410909c6545eeb701a05f148c49349189d7d805ac1bf60b8e67d04bd8cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28818",
    "kind": "arxiv",
    "version": 1
  }
}