Pith Number

pith:QRBCHOBF

pith:2018:QRBCHOBFB65ISHOAYQVNABROUD

not attested not anchored not stored refs pending

On the polynomiality and asymptotics of moments of sizes for random $(n, dn\pm 1)$-core partitions with distinct parts

Huan Xiong, Wenston J.T. Zang

arxiv:1804.09091 v3 · 2018-04-24 · 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{QRBCHOBFB65ISHOAYQVNABROUD}

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	2026-05-17T23:52:18.432545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844223b8250fba891dc0c42ad0062ea0d455e8aa6c75e178a61883dfc73c8925

Aliases

arxiv: 1804.09091 · arxiv_version: 1804.09091v3 · doi: 10.48550/arxiv.1804.09091 · pith_short_12: QRBCHOBFB65I · pith_short_16: QRBCHOBFB65ISHOA · pith_short_8: QRBCHOBF

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/QRBCHOBFB65ISHOAYQVNABROUD \
  | 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: 844223b8250fba891dc0c42ad0062ea0d455e8aa6c75e178a61883dfc73c8925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeff4f1287aaeac76f91e43075654a0615868d38a388493ebe0e8864e3de8472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-24T15:21:54Z",
    "title_canon_sha256": "4c89f1f211f1be3c206fcf707bd7a18cfc2ec6cd2b14a67c6c98ba9bff93ed36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09091",
    "kind": "arxiv",
    "version": 3
  }
}