Pith Number

pith:GCQOJZY7

pith:2025:GCQOJZY7IVTIG7QOLTP6VBC5TK

not attested not anchored not stored refs pending

Refinement of Hikita's $e$-positivity theorem via Abreu--Nigro's $g$-functions and restricted modular law

Byung-Hak Hwang, Donghyun Kim, Jaeseong Oh, Jang Soo Kim, JiSun Huh

arxiv:2504.09123 v1 · 2025-04-12 · 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{GCQOJZY7IVTIG7QOLTP6VBC5TK}

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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.

Cited by

1 paper in Pith

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis

Receipt and verification

First computed	2026-07-05T10:48:04.582612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a0e4e71f4566837e0e5cdfea845d9a8d8f2e68fed58511f03b4317e8ae1875

Aliases

arxiv: 2504.09123 · arxiv_version: 2504.09123v1 · doi: 10.48550/arxiv.2504.09123 · pith_short_12: GCQOJZY7IVTI · pith_short_16: GCQOJZY7IVTIG7QO · pith_short_8: GCQOJZY7

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/GCQOJZY7IVTIG7QOLTP6VBC5TK \
  | 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: 30a0e4e71f4566837e0e5cdfea845d9a8d8f2e68fed58511f03b4317e8ae1875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f219d40feafa308b7f8ade57397470d76ffbc4e435d8c7ca72ac380cace67ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-12T08:17:45Z",
    "title_canon_sha256": "519981b783e6518330800dccbe43f861fdfcca208987722bc60bcb4adee0ac03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09123",
    "kind": "arxiv",
    "version": 1
  }
}