Pith Number

pith:K27RNNXE

pith:2025:K27RNNXEWMATQGPKUPNHJSARSM

not attested not anchored not stored refs pending

Residues and Gorenstein Contractions of Genus One Curves

Adrian Neff, Jonathan Wise

arxiv:2507.05326 v2 · 2025-07-07 · 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{K27RNNXEWMATQGPKUPNHJSARSM}

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	2026-06-05T01:14:27.940947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56bf16b6e4b3013819eaa3da74c8119331b9f6a5a12e5930e2ba4d629d46ee6a

Aliases

arxiv: 2507.05326 · arxiv_version: 2507.05326v2 · doi: 10.48550/arxiv.2507.05326 · pith_short_12: K27RNNXEWMAT · pith_short_16: K27RNNXEWMATQGPK · pith_short_8: K27RNNXE

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/K27RNNXEWMATQGPKUPNHJSARSM \
  | 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: 56bf16b6e4b3013819eaa3da74c8119331b9f6a5a12e5930e2ba4d629d46ee6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "088cdc999d939ce2a76862932bdb22bed42582820d7e50c656d86ebd61a84a25",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-07T17:40:37Z",
    "title_canon_sha256": "bea31239df933688ce8b80230353e965c8226cd06866c3494d58d35b13214121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05326",
    "kind": "arxiv",
    "version": 2
  }
}