Pith Number

pith:V4I4H764

pith:2025:V4I4H76473S3S2HKF2QUHUEROL

not attested not anchored not stored refs pending

The Diophantine Frobenius Problem revisited

Hao Zhang, Weijia Wang, Yuchen Ding

arxiv:2509.08599 v1 · 2025-09-10 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4I4H76473S3S2HKF2QUHUEROL}

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	2026-07-05T12:08:32.852071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af11c3ffdcfee5b968ea2ea143d09172e61640400745fddbe10f96a2b2e0eb15

Aliases

arxiv: 2509.08599 · arxiv_version: 2509.08599v1 · doi: 10.48550/arxiv.2509.08599 · pith_short_12: V4I4H76473S3 · pith_short_16: V4I4H76473S3S2HK · pith_short_8: V4I4H764

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/V4I4H76473S3S2HKF2QUHUEROL \
  | 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: af11c3ffdcfee5b968ea2ea143d09172e61640400745fddbe10f96a2b2e0eb15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9074aca30e9c7f0f4d882a9f261f78920beab6026a40ed14b707ea7d4f72cada",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-10T13:57:55Z",
    "title_canon_sha256": "995bf93a82f5075741131a35433662724eb91982a5a165021d31ad957a63bd44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08599",
    "kind": "arxiv",
    "version": 1
  }
}