Pith Number

pith:KAL3A7RB

pith:2024:KAL3A7RB25WEUL6X26ZDYEMIUS

not attested not anchored not stored refs pending

A geometric realization of the chromatic symmetric function of a unit interval graph

Syu Kato

arxiv:2410.12231 v2 · 2024-10-16 · math.CO · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAL3A7RB25WEUL6X26ZDYEMIUS}

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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	2026-07-05T09:21:50.535662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5017b07e21d76c4a2fd7d7b23c1188a4af5273b9fd26674623a7a365f451f604

Aliases

arxiv: 2410.12231 · arxiv_version: 2410.12231v2 · doi: 10.48550/arxiv.2410.12231 · pith_short_12: KAL3A7RB25WE · pith_short_16: KAL3A7RB25WEUL6X · pith_short_8: KAL3A7RB

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/KAL3A7RB25WEUL6X26ZDYEMIUS \
  | 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: 5017b07e21d76c4a2fd7d7b23c1188a4af5273b9fd26674623a7a365f451f604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745dde5eabd311e3617dda9da889174032543175576cf496ae71840083f583b0",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-16T04:46:09Z",
    "title_canon_sha256": "0b7d83017a0fee4d738cb1287101a60d6b9dda2ef61a0d78daf5852629ed9b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.12231",
    "kind": "arxiv",
    "version": 2
  }
}