Pith Number

pith:WS5YQVSX

pith:2025:WS5YQVSXGLY7PAST3C7E33XP2U

not attested not anchored not stored refs pending

Zero-cycles on quasi-projective surfaces over $p$-adic fields

Evangelia Gazaki, Jitendra Rathore

arxiv:2507.20076 v2 · 2025-07-26 · 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{WS5YQVSXGLY7PAST3C7E33XP2U}

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	2026-05-27T02:05:04.705458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4bb88565732f1f78253d8be4deeefd50250d1bd8090fa714ed53808d93216ef

Aliases

arxiv: 2507.20076 · arxiv_version: 2507.20076v2 · doi: 10.48550/arxiv.2507.20076 · pith_short_12: WS5YQVSXGLY7 · pith_short_16: WS5YQVSXGLY7PAST · pith_short_8: WS5YQVSX

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/WS5YQVSXGLY7PAST3C7E33XP2U \
  | 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: b4bb88565732f1f78253d8be4deeefd50250d1bd8090fa714ed53808d93216ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05deb0850e122e9c7377624b407864b440713ca13c1f98a4bbd0a9d1ce0dabd9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-26T22:53:25Z",
    "title_canon_sha256": "04b12569f892ec30056ced81d75a6e8d782668f1aea5dd20618fad4fa07cf462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20076",
    "kind": "arxiv",
    "version": 2
  }
}