Pith Number

pith:QXTAWUO4

pith:2025:QXTAWUO45JNHMCXZM4PXBG27DD

not attested not anchored not stored refs pending

The Tate conjecture for surfaces of geometric genus one -- embracing singularities

Haoyang Guo, Ziquan Yang

arxiv:2501.18541 v2 · 2025-01-30 · 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{QXTAWUO45JNHMCXZM4PXBG27DD}

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	2026-07-05T11:19:51.001102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e60b51dcea5a760af9671f709b5f18e0035ba389c70e1c272b459417e691f5

Aliases

arxiv: 2501.18541 · arxiv_version: 2501.18541v2 · doi: 10.48550/arxiv.2501.18541 · pith_short_12: QXTAWUO45JNH · pith_short_16: QXTAWUO45JNHMCXZ · pith_short_8: QXTAWUO4

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/QXTAWUO45JNHMCXZM4PXBG27DD \
  | 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: 85e60b51dcea5a760af9671f709b5f18e0035ba389c70e1c272b459417e691f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63e9bc4e6131efeb474cdeece81a9a5e0f9917a6d849cbfcc1f83a97b471151",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-30T18:08:44Z",
    "title_canon_sha256": "eadbd230490bd9a636da6d3c73b7e7e5967d7dd8a6b823e5288850c6d3d165fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18541",
    "kind": "arxiv",
    "version": 2
  }
}