Pith Number

pith:6QHDZEDE

pith:2010:6QHDZEDE5CLJVXAEB5JNMUZUKB

not attested not anchored not stored refs pending

A generalisation of Zhang's local Gross-Zagier formula

Kathrin Maurischat

arxiv:1003.0777 v1 · 2010-03-03 · 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{6QHDZEDE5CLJVXAEB5JNMUZUKB}

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	2026-05-18T00:39:58.825420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f40e3c9064e8969adc040f52d653345046419432cf82e4145b2935c1688e6af7

Aliases

arxiv: 1003.0777 · arxiv_version: 1003.0777v1 · doi: 10.48550/arxiv.1003.0777 · pith_short_12: 6QHDZEDE5CLJ · pith_short_16: 6QHDZEDE5CLJVXAE · pith_short_8: 6QHDZEDE

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/6QHDZEDE5CLJVXAEB5JNMUZUKB \
  | 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: f40e3c9064e8969adc040f52d653345046419432cf82e4145b2935c1688e6af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1919fdc6f7095c4e522fe28fae5cc020c659f1de1b23b6fcf8766d934a7d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-03T11:02:10Z",
    "title_canon_sha256": "8e3758797275188d800835722965741dbfbfa8b0de9b9040c742e622dc8bd6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0777",
    "kind": "arxiv",
    "version": 1
  }
}