Pith Number

pith:GCOCVPB5

pith:2018:GCOCVPB5ZOBBZCUX5AB7LUHC7Z

not attested not anchored not stored refs pending

Combinatorial proofs and generalizations of conjectures related to Euler's partition theorem

Jane Y.X. Yang

arxiv:1801.06815 v2 · 2018-01-21 · 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{GCOCVPB5ZOBBZCUX5AB7LUHC7Z}

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	2026-05-18T00:03:56.518984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309c2abc3dcb821c8a97e803f5d0e2fe452279c97ee203784748c25b59ec774f

Aliases

arxiv: 1801.06815 · arxiv_version: 1801.06815v2 · doi: 10.48550/arxiv.1801.06815 · pith_short_12: GCOCVPB5ZOBB · pith_short_16: GCOCVPB5ZOBBZCUX · pith_short_8: GCOCVPB5

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/GCOCVPB5ZOBBZCUX5AB7LUHC7Z \
  | 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: 309c2abc3dcb821c8a97e803f5d0e2fe452279c97ee203784748c25b59ec774f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10597f274888e7bcf9a1b015f0c7530ec68f2667cc522abf6a675c836651d753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-21T13:29:28Z",
    "title_canon_sha256": "915e94a3f85b06264509876c8bd1c0a456c1f73e62b019badb5f541318719f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06815",
    "kind": "arxiv",
    "version": 2
  }
}