Pith Number

pith:APOURETO

pith:2025:APOURETOZ63YEE6BKW3HSCKMYX

not attested not anchored not stored refs pending

Murmurations using Petersson trace formula

Chan Ieong Kuan, Didier Lesesvre

arxiv:2507.11418 v1 · 2025-07-15 · 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{APOURETOZ63YEE6BKW3HSCKMYX}

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.

Cited by

1 paper in Pith

Computer vision and converse theorems

Receipt and verification

First computed	2026-07-05T11:37:38.970290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03dd48926ecfb78213c155b679094cc5c79b5bc97e92f3938f5085538f6a7772

Aliases

arxiv: 2507.11418 · arxiv_version: 2507.11418v1 · doi: 10.48550/arxiv.2507.11418 · pith_short_12: APOURETOZ63Y · pith_short_16: APOURETOZ63YEE6B · pith_short_8: APOURETO

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/APOURETOZ63YEE6BKW3HSCKMYX \
  | 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: 03dd48926ecfb78213c155b679094cc5c79b5bc97e92f3938f5085538f6a7772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7a83a732ecad4f57fce5b94a39c5f21b8667303a56d6ac4e8a9537e897d8dc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-15T15:44:47Z",
    "title_canon_sha256": "93268b8707ada7e73b39037226488fcd14807d673e0bd447e7f91822c3e74826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11418",
    "kind": "arxiv",
    "version": 1
  }
}