Pith Number

pith:SIKKQMN2

pith:2023:SIKKQMN2VRDJDY2Z5VF4B3VPZ7

not attested not anchored not stored refs pending

A noncommutative approach to the Schur positivity of chromatic symmetric functions

David G.L. Wang, Jean-Yves Thibon

arxiv:2305.07858 v1 · 2023-05-13 · 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{SIKKQMN2VRDJDY2Z5VF4B3VPZ7}

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	2026-07-05T06:09:54.941404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9214a831baac4691e359ed4bc0eeafcff8ec35e7b4acabdf6c424f3dcffb8a92

Aliases

arxiv: 2305.07858 · arxiv_version: 2305.07858v1 · doi: 10.48550/arxiv.2305.07858 · pith_short_12: SIKKQMN2VRDJ · pith_short_16: SIKKQMN2VRDJDY2Z · pith_short_8: SIKKQMN2

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/SIKKQMN2VRDJDY2Z5VF4B3VPZ7 \
  | 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: 9214a831baac4691e359ed4bc0eeafcff8ec35e7b4acabdf6c424f3dcffb8a92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b11a537d5528930b4f69f86b3520985095b4de7ffdc0095d2073a2f80e669a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-13T07:55:33Z",
    "title_canon_sha256": "ec6df10f47dfe6494a92a00a2361c4e7772f2ba83afe2fccd386b0e0ab63eccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.07858",
    "kind": "arxiv",
    "version": 1
  }
}