Pith Number

pith:PRWS3NCS

pith:2026:PRWS3NCSRWXDNPEVKETNUDD7G6

not attested not anchored not stored refs pending

The Gorenstein property and Pixton's conjecture for compact type moduli

Hannah Larson, Johannes Schmitt, Samir Canning

arxiv:2607.02249 v1 · 2026-07-02 · 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{PRWS3NCSRWXDNPEVKETNUDD7G6}

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	2026-07-03T01:17:46.410035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6d2db4528dae36bc955126da0c7f378845bfa5e8c761541f6d54434df80455

Aliases

arxiv: 2607.02249 · arxiv_version: 2607.02249v1 · doi: 10.48550/arxiv.2607.02249 · pith_short_12: PRWS3NCSRWXD · pith_short_16: PRWS3NCSRWXDNPEV · pith_short_8: PRWS3NCS

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/PRWS3NCSRWXDNPEVKETNUDD7G6 \
  | 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: 7c6d2db4528dae36bc955126da0c7f378845bfa5e8c761541f6d54434df80455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2a2c9ddaa21b062f439fd3dae0518899e8cea0ef421d0076e621235240bfe2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-02T14:41:35Z",
    "title_canon_sha256": "aca1c82ab206abbb51b2e8e995c29d393255f71abaec4e9eb9014a060694d527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02249",
    "kind": "arxiv",
    "version": 1
  }
}