Pith Number

pith:ATUIMXQ4

pith:2004:ATUIMXQ4KLLQ2P6V6V4J6MGZ3D

not attested not anchored not stored refs pending

On various restricted sumsets

Yeong-Nan Yeh, Zhi-Wei Sun

arxiv:math/0410529 v2 · 2004-10-25 · math.CO · 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{ATUIMXQ4KLLQ2P6V6V4J6MGZ3D}

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	2026-07-04T14:39:18.267674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e8865e1c52d70d3fd5f5789f30d9d8cf2d641cd9ff2047b158c93b50d9e9db

Aliases

arxiv: math/0410529 · arxiv_version: math/0410529v2 · doi: 10.48550/arxiv.math/0410529 · pith_short_12: ATUIMXQ4KLLQ · pith_short_16: ATUIMXQ4KLLQ2P6V · pith_short_8: ATUIMXQ4

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/ATUIMXQ4KLLQ2P6V6V4J6MGZ3D \
  | 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: 04e8865e1c52d70d3fd5f5789f30d9d8cf2d641cd9ff2047b158c93b50d9e9db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812c8576f8c756394d7b285c841b3c113883a2070202b2d07557316778565fcf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-10-25T15:07:15Z",
    "title_canon_sha256": "771e9a2498e7d1bb8481efd788dce71c32417577261d4756086fdb1da5332100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410529",
    "kind": "arxiv",
    "version": 2
  }
}