Pith Number

pith:S7YHBH6D

pith:2024:S7YHBH6DRYGIT4AKNMJWRVV6W2

not attested not anchored not stored refs pending

The $e$-positivity of the chromatic symmetric function for twinned paths and cycles

Esther Banaian, Jamie Kimble, Jinting Liang, John Lentfer, Kyle Celano, Laura Colmenarejo, Lauren Kimpel, Megan Chang-Lee, Owen Goff, Sheila Sundaram

arxiv:2405.17649 v2 · 2024-05-27 · 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{S7YHBH6DRYGIT4AKNMJWRVV6W2}

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	2026-07-05T12:06:00.119909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97f0709fc38e0c89f00a6b1368d6beb69b31bdbef727827711a5da16cd04128a

Aliases

arxiv: 2405.17649 · arxiv_version: 2405.17649v2 · doi: 10.48550/arxiv.2405.17649 · pith_short_12: S7YHBH6DRYGI · pith_short_16: S7YHBH6DRYGIT4AK · pith_short_8: S7YHBH6D

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/S7YHBH6DRYGIT4AKNMJWRVV6W2 \
  | 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: 97f0709fc38e0c89f00a6b1368d6beb69b31bdbef727827711a5da16cd04128a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36768651941821f0dd1555b0ce89fbc5a522979b830d3ab825cce062bed1e359",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-27T20:45:14Z",
    "title_canon_sha256": "75d68ee5c457c4f163d23e41928e59172b7283d30498269d39c6cb5c113e5d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17649",
    "kind": "arxiv",
    "version": 2
  }
}