Pith Number

pith:6YVGZIIU

pith:2018:6YVGZIIUOSEG27QQTHY5LZUPBQ

not attested not anchored not stored refs pending

The $p$-adic variation of the Gross-Kohnen-Zagier theorem

Marc-Hubert Nicole, Matteo Longo

arxiv:1810.06961 v2 · 2018-10-16 · 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{6YVGZIIUOSEG27QQTHY5LZUPBQ}

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	2026-05-17T23:40:49.474696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f62a6ca11474886d7e1099f1d5e68f0c2c6e09e0448e89842e941141142e725b

Aliases

arxiv: 1810.06961 · arxiv_version: 1810.06961v2 · doi: 10.48550/arxiv.1810.06961 · pith_short_12: 6YVGZIIUOSEG · pith_short_16: 6YVGZIIUOSEG27QQ · pith_short_8: 6YVGZIIU

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/6YVGZIIUOSEG27QQTHY5LZUPBQ \
  | 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: f62a6ca11474886d7e1099f1d5e68f0c2c6e09e0448e89842e941141142e725b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc9bb48b0896fbf33fb2e944bca0fa57c58f037290ca1c0790c321cef601a4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-16T12:50:10Z",
    "title_canon_sha256": "21286fa6bfa40c9b486aea09d0068145fce4ca5d45d178980c6bc7ce79045a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06961",
    "kind": "arxiv",
    "version": 2
  }
}