Pith Number

pith:W2Z472UV

pith:2023:W2Z472UVL6LV6MWTMZRWLEBXMZ

not attested not anchored not stored refs pending

A signed $e$-expansion of the chromatic quasisymmetric function

Foster Tom

arxiv:2311.08020 v2 · 2023-11-14 · 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{W2Z472UVL6LV6MWTMZRWLEBXMZ}

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

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis

Receipt and verification

First computed	2026-07-05T08:16:43.556709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b3cfea955f975f32d36663659037665b05348ccb503b9ecb55f6e7143b0c2f

Aliases

arxiv: 2311.08020 · arxiv_version: 2311.08020v2 · doi: 10.48550/arxiv.2311.08020 · pith_short_12: W2Z472UVL6LV · pith_short_16: W2Z472UVL6LV6MWT · pith_short_8: W2Z472UV

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/W2Z472UVL6LV6MWTMZRWLEBXMZ \
  | 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: b6b3cfea955f975f32d36663659037665b05348ccb503b9ecb55f6e7143b0c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c809ed2a9f10aa2b1734bc0c85b8a7d7f3894dcc5970e32c1443b1c67a8c78",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-14T09:25:58Z",
    "title_canon_sha256": "0684584770826b09d66c219d666e3e3e44bf63db1d667e314dcbfad5d9db3d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08020",
    "kind": "arxiv",
    "version": 2
  }
}