Pith Number

pith:Z4GFTW5E

pith:2024:Z4GFTW5EDDOFAASH4E3A7RAPZV

not attested not anchored not stored refs pending

A remark on the conjecture of Donagi-Morrison

Kenta Watanabe

arxiv:2412.02256 v1 · 2024-12-03 · 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{Z4GFTW5EDDOFAASH4E3A7RAPZV}

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	2026-07-05T09:43:47.208890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0c59dba418dc500247e1360fc40fcd54385281fdd14ae71685ce4a84e4eada

Aliases

arxiv: 2412.02256 · arxiv_version: 2412.02256v1 · doi: 10.48550/arxiv.2412.02256 · pith_short_12: Z4GFTW5EDDOF · pith_short_16: Z4GFTW5EDDOFAASH · pith_short_8: Z4GFTW5E

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/Z4GFTW5EDDOFAASH4E3A7RAPZV \
  | 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: cf0c59dba418dc500247e1360fc40fcd54385281fdd14ae71685ce4a84e4eada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d6470ace23bcc457cc4020194456632097d3ed9c9b8949a1f07d6a455b3928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-03T08:31:37Z",
    "title_canon_sha256": "71858240c0e9ddec5ed6d83ce8192666fc313f3dca895dbe3c1dce05bec5c1de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02256",
    "kind": "arxiv",
    "version": 1
  }
}