Pith Number

pith:I3IHUAYV

pith:2016:I3IHUAYV3CNKBHRVFPALEQ5BSH

not attested not anchored not stored refs pending

Kirillov's unimodality conjecture for the rectangular Narayana polynomials

Arthur L.B. Yang, Herman Z.Q. Chen, Philip B. Zhang

arxiv:1601.05863 v1 · 2016-01-22 · 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{I3IHUAYV3CNKBHRVFPALEQ5BSH}

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	2026-05-18T01:22:10.867364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d07a0315d89aa09e352bc0b243a191e4ad8f88dfd40f5424259a2c27edc561

Aliases

arxiv: 1601.05863 · arxiv_version: 1601.05863v1 · doi: 10.48550/arxiv.1601.05863 · pith_short_12: I3IHUAYV3CNK · pith_short_16: I3IHUAYV3CNKBHRV · pith_short_8: I3IHUAYV

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/I3IHUAYV3CNKBHRVFPALEQ5BSH \
  | 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: 46d07a0315d89aa09e352bc0b243a191e4ad8f88dfd40f5424259a2c27edc561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c7586a9ae73b6d5c9ecd6b0f57f5e7f54d0b67fc044a9342e6f49df6eb1277",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-22T02:13:59Z",
    "title_canon_sha256": "ff902f2ab57cdaa95fa9e14d9daa21006abcb9898314c6d75209fd55ab720b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05863",
    "kind": "arxiv",
    "version": 1
  }
}