Pith Number

pith:PPXOS2UR

pith:2015:PPXOS2URVMOOUTSHAPY53IDB57

not attested not anchored not stored refs pending

Proof of a Conjecture on 6-colored Generalized Frobenius Partitions

Liuquan Wang

arxiv:1507.03101 v1 · 2015-07-11 · 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{PPXOS2URVMOOUTSHAPY53IDB57}

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	2026-05-18T01:36:59.686462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7beee96a91ab1cea4e4703f1dda061efcdf10166299402126261b79d69010d27

Aliases

arxiv: 1507.03101 · arxiv_version: 1507.03101v1 · doi: 10.48550/arxiv.1507.03101 · pith_short_12: PPXOS2URVMOO · pith_short_16: PPXOS2URVMOOUTSH · pith_short_8: PPXOS2UR

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/PPXOS2URVMOOUTSHAPY53IDB57 \
  | 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: 7beee96a91ab1cea4e4703f1dda061efcdf10166299402126261b79d69010d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3ad940fa0cac9381b72c6b2434444382a6c940d4d46a9ea2036adf85bfbba7e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-11T11:50:31Z",
    "title_canon_sha256": "573539b2cf94ede42e32b32587da0fcc20b702eceb557493fb8ebc36dd7a243f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03101",
    "kind": "arxiv",
    "version": 1
  }
}