Pith Number

pith:DGFKITOT

pith:2026:DGFKITOTSLGEFDWHH7ZTEZRQ43

not attested not anchored not stored refs pending

Gross-Zagier formula for the $4, 7$ cases of Sylvester's conjecture

Hongbo Yin

arxiv:2607.01744 v1 · 2026-07-02 · 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{DGFKITOTSLGEFDWHH7ZTEZRQ43}

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	2026-07-03T01:17:28.340571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

198aa44dd392cc428ec73ff3326630e6db6700ac6278350c49d759c9c43d1eaa

Aliases

arxiv: 2607.01744 · arxiv_version: 2607.01744v1 · doi: 10.48550/arxiv.2607.01744 · pith_short_12: DGFKITOTSLGE · pith_short_16: DGFKITOTSLGEFDWH · pith_short_8: DGFKITOT

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/DGFKITOTSLGEFDWHH7ZTEZRQ43 \
  | 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: 198aa44dd392cc428ec73ff3326630e6db6700ac6278350c49d759c9c43d1eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c76f003577ac28cb18e43e0b17e66ef47b7716bebfd13711d167cc11c7723f2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-02T05:59:01Z",
    "title_canon_sha256": "ded0a78e5a388fa9b85ffc1cf4692980dd6ce0d2ff0404533b2797973f761b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01744",
    "kind": "arxiv",
    "version": 1
  }
}