Pith Number

pith:UXUQ5TOI

pith:2012:UXUQ5TOIF6X6ADLHTRIT75YWHM

not attested not anchored not stored refs pending

Twisted Gross-Zagier theorems

Benjamin Howard

arxiv:1202.6369 v1 · 2012-02-28 · 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{UXUQ5TOIF6X6ADLHTRIT75YWHM}

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	2026-05-18T04:01:12.759844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e90ecdc82fafe00d679c513ff7163b302c891087f0afd70864d34a5b72da41

Aliases

arxiv: 1202.6369 · arxiv_version: 1202.6369v1 · doi: 10.48550/arxiv.1202.6369 · pith_short_12: UXUQ5TOIF6X6 · pith_short_16: UXUQ5TOIF6X6ADLH · pith_short_8: UXUQ5TOI

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/UXUQ5TOIF6X6ADLHTRIT75YWHM \
  | 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: a5e90ecdc82fafe00d679c513ff7163b302c891087f0afd70864d34a5b72da41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69241a421f21bd76b8229729b6faf8f8b7989d6df159f14c5535e1dbbee87173",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-28T21:01:51Z",
    "title_canon_sha256": "c4e99795dab72eaf82d360f011aa8fa6a567bdaa9d2695d1f729d25407bd7d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6369",
    "kind": "arxiv",
    "version": 1
  }
}