Pith Number

pith:AQLQYSQT

pith:2016:AQLQYSQTXISPBUXAERIIPSLNF4

not attested not anchored not stored refs pending

A Rational Catalan Formula for $(m,3)$-Hikita Polynomials

Debdut Karmakar, Ryan Kaliszewski

arxiv:1612.04260 v1 · 2016-12-13 · 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{AQLQYSQTXISPBUXAERIIPSLNF4}

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	2026-05-18T00:55:04.949191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04170c4a13ba24f0d2e0245087c96d2f106bab35a44da815d1a2167d16522ce6

Aliases

arxiv: 1612.04260 · arxiv_version: 1612.04260v1 · doi: 10.48550/arxiv.1612.04260 · pith_short_12: AQLQYSQTXISP · pith_short_16: AQLQYSQTXISPBUXA · pith_short_8: AQLQYSQT

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/AQLQYSQTXISPBUXAERIIPSLNF4 \
  | 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: 04170c4a13ba24f0d2e0245087c96d2f106bab35a44da815d1a2167d16522ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3348707ac9c35b15bc2d8e12999a813c6e055eeca5dba8f6d0b5ded5b3bff3c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-13T16:15:35Z",
    "title_canon_sha256": "32499309feddfcc40871e80fa91aefbb6a4287b1dc04a5c62d419e11a6aa95ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04260",
    "kind": "arxiv",
    "version": 1
  }
}