Pith Number

pith:GRXEXP4J

pith:2025:GRXEXP4JPXUNFUZ55RE6OYXJ24

not attested not anchored not stored refs pending

Periods of fibre products of elliptic surfaces and the Gamma conjecture

Eric Pichon-Pharabod

arxiv:2505.07685 v2 · 2025-05-12 · math.AG · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRXEXP4JPXUNFUZ55RE6OYXJ24}

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.

Cited by

2 papers in Pith

Large Order Enumerative Geometry, Black Holes and Black Rings

Receipt and verification

First computed	2026-07-05T11:33:23.619417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346e4bbf897de8d2d33dec49e762e9d72a3e1cafeb1b44e18f001d7b8be980eb

Aliases

arxiv: 2505.07685 · arxiv_version: 2505.07685v2 · doi: 10.48550/arxiv.2505.07685 · pith_short_12: GRXEXP4JPXUN · pith_short_16: GRXEXP4JPXUNFUZ5 · pith_short_8: GRXEXP4J

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/GRXEXP4JPXUNFUZ55RE6OYXJ24 \
  | 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: 346e4bbf897de8d2d33dec49e762e9d72a3e1cafeb1b44e18f001d7b8be980eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f2a4f723351eec37908c1ab279d03af71f9dca0f704b0369461ab1c90335eb",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-12T15:48:24Z",
    "title_canon_sha256": "82720292f3d26bece300b5d383505783af23cbcf46db5c4b5850c2bc9790a8cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07685",
    "kind": "arxiv",
    "version": 2
  }
}