Pith Number

pith:VMYVSQCQ

pith:2025:VMYVSQCQRCINACOKWELZIST2TJ

not attested not anchored not stored refs pending

On nefness of the lowest piece of Hodge modules

Ze Yun

arxiv:2507.01731 v2 · 2025-07-02 · 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{VMYVSQCQRCINACOKWELZIST2TJ}

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	2026-05-18T03:10:12.501189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab315940508890d009cab117944a7a9a6e410b40afc5b0bb01ff697491d01cb9

Aliases

arxiv: 2507.01731 · arxiv_version: 2507.01731v2 · doi: 10.48550/arxiv.2507.01731 · pith_short_12: VMYVSQCQRCIN · pith_short_16: VMYVSQCQRCINACOK · pith_short_8: VMYVSQCQ

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/VMYVSQCQRCINACOKWELZIST2TJ \
  | 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: ab315940508890d009cab117944a7a9a6e410b40afc5b0bb01ff697491d01cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e564bb42f30d40fd3cb870befffa876780c57a9865b15061847d6b0672b6bdb5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-02T14:04:38Z",
    "title_canon_sha256": "26277f482f3a52694187a276ec4df1b12f5ff7d95bac3408bdecc6417df416af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01731",
    "kind": "arxiv",
    "version": 2
  }
}