Pith Number

pith:3ZWGOSZM

pith:2025:3ZWGOSZMDXCNCUFCXG2I3E2ZBG

not attested not anchored not stored refs pending

Canonical Forms as Dual Volumes

Elia Mazzucchelli, Prashanth Raman

arxiv:2509.02239 v1 · 2025-09-02 · hep-th · math.AG · math.AP · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZWGOSZMDXCNCUFCXG2I3E2ZBG}

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	2026-07-05T12:03:34.566794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6c674b2c1dc4d150a2b9b48d9359098333761cbd6da8a459f0232b6114da3f

Aliases

arxiv: 2509.02239 · arxiv_version: 2509.02239v1 · doi: 10.48550/arxiv.2509.02239 · pith_short_12: 3ZWGOSZMDXCN · pith_short_16: 3ZWGOSZMDXCNCUFC · pith_short_8: 3ZWGOSZM

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/3ZWGOSZMDXCNCUFCXG2I3E2ZBG \
  | 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: de6c674b2c1dc4d150a2b9b48d9359098333761cbd6da8a459f0232b6114da3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2313b56916d254c18ff95e707cdead38b2dad96b6f416135b8744e99d0c5669",
    "cross_cats_sorted": [
      "math.AG",
      "math.AP",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-02T12:07:36Z",
    "title_canon_sha256": "46d577b024e4329cbebc33b593fffdb2d1ad7205ed5caf8fd177f2f6ada4d778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02239",
    "kind": "arxiv",
    "version": 1
  }
}