Pith Number

pith:WFBIEC57

pith:2014:WFBIEC57KGEGZLF7U3OOQN52EL

not attested not anchored not stored refs pending

Higher dimensional Frobenius problem: Maximal saturated cone, growth function and rigidity

Ai-Hua Fan, Hui Rao, Yuan Zhang

arxiv:1411.7118 v1 · 2014-11-26 · 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{WFBIEC57KGEGZLF7U3OOQN52EL}

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	2026-05-18T02:32:45.291293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b142820bbf51886cacbfa6dce837ba22f5d65b2772d701d886b544f74e81bdec

Aliases

arxiv: 1411.7118 · arxiv_version: 1411.7118v1 · doi: 10.48550/arxiv.1411.7118 · pith_short_12: WFBIEC57KGEG · pith_short_16: WFBIEC57KGEGZLF7 · pith_short_8: WFBIEC57

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/WFBIEC57KGEGZLF7U3OOQN52EL \
  | 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: b142820bbf51886cacbfa6dce837ba22f5d65b2772d701d886b544f74e81bdec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a72cddc5d49ea22aca63d32ed53ddbbc611685d4599091ba507ff150f584ccf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-26T06:34:50Z",
    "title_canon_sha256": "be8fb5cf6775ce04a9cd87e7c39c804ad6bc821015b757306338ccfd34ed69b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7118",
    "kind": "arxiv",
    "version": 1
  }
}