Pith Number

pith:GRJCRIOU

pith:2024:GRJCRIOU2P3RKG4VGF4RIGF5J5

not attested not anchored not stored refs pending

Hole event for random holomorphic sections on compact Riemann surfaces

Hao Wu, Subhroshekhar Ghosh, Tien-Cuong Dinh

arxiv:2402.11672 v1 · 2024-02-18 · math.CV · math.AG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRJCRIOU2P3RKG4VGF4RIGF5J5}

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	2026-07-05T07:46:42.794599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345228a1d4d3f7151b9531791418bd4f59409a75e19a4fb33c0132d1302d31ad

Aliases

arxiv: 2402.11672 · arxiv_version: 2402.11672v1 · doi: 10.48550/arxiv.2402.11672 · pith_short_12: GRJCRIOU2P3R · pith_short_16: GRJCRIOU2P3RKG4V · pith_short_8: GRJCRIOU

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/GRJCRIOU2P3RKG4VGF4RIGF5J5 \
  | 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: 345228a1d4d3f7151b9531791418bd4f59409a75e19a4fb33c0132d1302d31ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3846e6ec891cc77f8610a27f4353f0cee1da9b35eb918a62a87381e6a9859846",
    "cross_cats_sorted": [
      "math.AG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2024-02-18T18:28:37Z",
    "title_canon_sha256": "36c6f6e0e53b8a0e65b24de973829c31e5f46bcacbd5e59ebe4f929b9c9d8ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.11672",
    "kind": "arxiv",
    "version": 1
  }
}