Pith Number

pith:YNTRD2ME

pith:2025:YNTRD2MEO3IONW7AZGKJEVK5CG

not attested not anchored not stored refs pending

Root stack valuative criterion for good moduli spaces

Dori Bejleri, Giovanni Inchiostro, Matthew Satriano

arxiv:2507.08642 v1 · 2025-07-11 · math.AG · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNTRD2MEO3IONW7AZGKJEVK5CG}

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	2026-07-05T11:35:43.870593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36711e98476d0e6dbe0c99492555d11bf764ce0c3a52db18378e8f2814029a9

Aliases

arxiv: 2507.08642 · arxiv_version: 2507.08642v1 · doi: 10.48550/arxiv.2507.08642 · pith_short_12: YNTRD2MEO3IO · pith_short_16: YNTRD2MEO3IONW7A · pith_short_8: YNTRD2ME

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/YNTRD2MEO3IONW7AZGKJEVK5CG \
  | 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: c36711e98476d0e6dbe0c99492555d11bf764ce0c3a52db18378e8f2814029a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fc5e8fc5d9e035ed71fcab5006df5032b6f0679b1d74e6f7d9fef0c9752b819",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-11T14:45:48Z",
    "title_canon_sha256": "e0c040bbcca243fc6fe217a7c2ead67a33facadfe7bb9b34c6bca82c99758d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08642",
    "kind": "arxiv",
    "version": 1
  }
}