Pith Number

pith:OOUJHRNS

pith:2025:OOUJHRNS2EHUM7IFWCFCXZXCHG

not attested not anchored not stored refs pending

Arithmetic Hirzebruch-Zagier divisors and central derivative values of Rankin-Selberg $L$-functions

Jeanine Van Order

arxiv:2510.10303 v2 · 2025-10-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOUJHRNS2EHUM7IFWCFCXZXCHG}

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	2026-06-09T02:07:10.979565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a893c5b2d10f467d05b08a2be6e23997f3d64a121b9687fe4f9f5eb090aeeb

Aliases

arxiv: 2510.10303 · arxiv_version: 2510.10303v2 · doi: 10.48550/arxiv.2510.10303 · pith_short_12: OOUJHRNS2EHU · pith_short_16: OOUJHRNS2EHUM7IF · pith_short_8: OOUJHRNS

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/OOUJHRNS2EHUM7IFWCFCXZXCHG \
  | 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: 73a893c5b2d10f467d05b08a2be6e23997f3d64a121b9687fe4f9f5eb090aeeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1f1d29dca1d0a15f5a6a6918b71a7f03d1b86f496d2a156350d35111116fb10",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-11T18:03:15Z",
    "title_canon_sha256": "427a8915c98e129db079da2ffdbcac25d99875b246f52b58353a351dbd5a9cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.10303",
    "kind": "arxiv",
    "version": 2
  }
}