Pith Number

pith:LJQOLTZ3

pith:2013:LJQOLTZ35AJG7GFF374LEGVNRA

not attested not anchored not stored refs pending

A modular relation for the chromatic symmetric functions of (3+1)-free posets

Mathieu Guay-Paquet

arxiv:1306.2400 v1 · 2013-06-11 · 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{LJQOLTZ35AJG7GFF374LEGVNRA}

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.

Cited by

1 paper in Pith

How to Use Deep Learning to Identify Sufficient Conditions: A Case Study on Stanley's $e$-Positivity

Receipt and verification

First computed	2026-05-18T03:21:21.080495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a60e5cf3be8126f98a5dff8b21aad8827e30f49da4f20b7ba7cb56927f7763a

Aliases

arxiv: 1306.2400 · arxiv_version: 1306.2400v1 · doi: 10.48550/arxiv.1306.2400 · pith_short_12: LJQOLTZ35AJG · pith_short_16: LJQOLTZ35AJG7GFF · pith_short_8: LJQOLTZ3

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/LJQOLTZ35AJG7GFF374LEGVNRA \
  | 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: 5a60e5cf3be8126f98a5dff8b21aad8827e30f49da4f20b7ba7cb56927f7763a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c20f2c17c444065387f5beb39281e385e64035fec359ff1a9ddf20947c9dd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-11T01:46:18Z",
    "title_canon_sha256": "00038a86637fa44e42b909aedee055f90265f2fc0dab6ccb97f100975ac452db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2400",
    "kind": "arxiv",
    "version": 1
  }
}