Pith Number

pith:ZL7RIABO

pith:2017:ZL7RIABO5CYSOEPDXIW7XEEQUE

not attested not anchored not stored refs pending

An explicit Gross-Zagier formula related to the Sylvester Conjecture

Hongbo Yin, Jie Shu, Yueke Hu

arxiv:1708.05266 v2 · 2017-08-17 · 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{ZL7RIABO5CYSOEPDXIW7XEEQUE}

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	2026-05-18T00:03:41.720892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caff14002ee8b12711e3ba2dfb9090a13dfa345f5fb1e4b9b147c5e08bf96a0f

Aliases

arxiv: 1708.05266 · arxiv_version: 1708.05266v2 · doi: 10.48550/arxiv.1708.05266 · pith_short_12: ZL7RIABO5CYS · pith_short_16: ZL7RIABO5CYSOEPD · pith_short_8: ZL7RIABO

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/ZL7RIABO5CYSOEPDXIW7XEEQUE \
  | 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: caff14002ee8b12711e3ba2dfb9090a13dfa345f5fb1e4b9b147c5e08bf96a0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2479ecd450a9f973b684d832482ab48db74082710b664a87de15009cdbe439a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-17T13:48:53Z",
    "title_canon_sha256": "0376f75e3d45749556ffe6ba7845b90c294e0109f943e0b68c1c6a5f43cc2255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05266",
    "kind": "arxiv",
    "version": 2
  }
}