Pith Number

pith:HXOFYOXC

pith:2018:HXOFYOXCUIYQH47QRN55O36G7A

not attested not anchored not stored refs pending

Monotonicity properties for ranks of overpartitions

Huan Xiong, Wenston J.T. Zang

arxiv:1808.04282 v2 · 2018-08-13 · 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{HXOFYOXCUIYQH47QRN55O36G7A}

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	2026-05-17T23:52:05.559337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ddc5c3ae2a23103f3f08b7bd76fc6f83dc15dd44a5e248ddb5f731501fd71c2

Aliases

arxiv: 1808.04282 · arxiv_version: 1808.04282v2 · doi: 10.48550/arxiv.1808.04282 · pith_short_12: HXOFYOXCUIYQ · pith_short_16: HXOFYOXCUIYQH47Q · pith_short_8: HXOFYOXC

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/HXOFYOXCUIYQH47QRN55O36G7A \
  | 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: 3ddc5c3ae2a23103f3f08b7bd76fc6f83dc15dd44a5e248ddb5f731501fd71c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a5ccb9a5e93986f3de924e93f3c820892d78c8cf6d4695d8664fb79af7fbca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-13T15:10:55Z",
    "title_canon_sha256": "8d3d2df24f544f1e9b97b4c81cbb04b036aa5b8ce72b9fed25faeaf29379f6b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04282",
    "kind": "arxiv",
    "version": 2
  }
}