Pith Number

pith:M75RYXMD

pith:2026:M75RYXMDYVGVXD25SIY2PQCACE

not attested not anchored not stored refs pending

Fields of Moduli of Smooth Cubic Surfaces

Tianzhi Yang

arxiv:2607.16519 v1 · 2026-07-17 · 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{M75RYXMDYVGVXD25SIY2PQCACE}

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	2026-07-21T00:20:22.961566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fb1c5d83c54d5b8f5d9231a7c0401105ce956970711c0c51649f19c6330598

Aliases

arxiv: 2607.16519 · arxiv_version: 2607.16519v1 · doi: 10.48550/arxiv.2607.16519 · pith_short_12: M75RYXMDYVGV · pith_short_16: M75RYXMDYVGVXD25 · pith_short_8: M75RYXMD

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/M75RYXMDYVGVXD25SIY2PQCACE \
  | 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: 67fb1c5d83c54d5b8f5d9231a7c0401105ce956970711c0c51649f19c6330598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8f445f659c17d04591f63c76543287331f632cdbf36c4a7f1a15ccfeaf6020",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-17T21:41:49Z",
    "title_canon_sha256": "1a781767cb68a78be3fd05fa9d55072b3898714dc85b7f850242f8dc452d65af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16519",
    "kind": "arxiv",
    "version": 1
  }
}