Pith Number

pith:AW7TQAFA

pith:2024:AW7TQAFAGWADD7WMYOMJTSSPM3

not attested not anchored not stored refs pending

Trace formula and functional equation

Chung-Hang Kwan, Wing Hong Leung

arxiv:2410.16921 v2 · 2024-10-22 · 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{AW7TQAFAGWADD7WMYOMJTSSPM3}

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	2026-07-05T09:58:43.592879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05bf3800a0358031feccc39899ca4f66f7478d04e4d84e8afc029842b594f6d8

Aliases

arxiv: 2410.16921 · arxiv_version: 2410.16921v2 · doi: 10.48550/arxiv.2410.16921 · pith_short_12: AW7TQAFAGWAD · pith_short_16: AW7TQAFAGWADD7WM · pith_short_8: AW7TQAFA

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/AW7TQAFAGWADD7WMYOMJTSSPM3 \
  | 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: 05bf3800a0358031feccc39899ca4f66f7478d04e4d84e8afc029842b594f6d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5f5da308bd4c9428e77b52c9dd884b1d70235f477a9c78c9662cab69058d675",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-22T11:55:14Z",
    "title_canon_sha256": "6790e341fc1ab78e8bb5c5c9c762c51685cd420759bdbfba7793041a256360fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.16921",
    "kind": "arxiv",
    "version": 2
  }
}