Pith Number

pith:2FU3WA6B

pith:2022:2FU3WA6BKUPRKJ6RNDDN3H3J7S

not attested not anchored not stored refs pending

The $e$-positivity of the chromatic symmetric functions and the inverse Kostka matrix

Shiyun Wang

arxiv:2210.07567 v2 · 2022-10-14 · 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{2FU3WA6BKUPRKJ6RNDDN3H3J7S}

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	2026-07-05T06:35:24.284083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d169bb03c1551f1527d168c6dd9f69fc8e4caa14a6d8c3c15cce733a459b580b

Aliases

arxiv: 2210.07567 · arxiv_version: 2210.07567v2 · doi: 10.48550/arxiv.2210.07567 · pith_short_12: 2FU3WA6BKUPR · pith_short_16: 2FU3WA6BKUPRKJ6R · pith_short_8: 2FU3WA6B

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/2FU3WA6BKUPRKJ6RNDDN3H3J7S \
  | 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: d169bb03c1551f1527d168c6dd9f69fc8e4caa14a6d8c3c15cce733a459b580b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529bd40e204cd711a282d41940719cbc00b227ce3ff737314d05e3666c25d82e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-14T06:46:26Z",
    "title_canon_sha256": "6e81aa283496ba933a0f5a3f3e15470d474e75a2f5ca4d4fe2271134ba236bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.07567",
    "kind": "arxiv",
    "version": 2
  }
}