Pith Number

pith:NUHA3LWI

pith:2016:NUHA3LWI55TKMKL7TMGKCK25XG

not attested not anchored not stored refs pending

A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra

Mathieu Guay-Paquet

arxiv:1601.05498 v1 · 2016-01-21 · 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{NUHA3LWI55TKMKL7TMGKCK25XG}

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	2026-05-18T01:22:13.662254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d0e0daec8ef66a6297f9b0ca12b5db9a89cf38b534cad32df32a341a02c7aaa

Aliases

arxiv: 1601.05498 · arxiv_version: 1601.05498v1 · doi: 10.48550/arxiv.1601.05498 · pith_short_12: NUHA3LWI55TK · pith_short_16: NUHA3LWI55TKMKL7 · pith_short_8: NUHA3LWI

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/NUHA3LWI55TKMKL7TMGKCK25XG \
  | 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: 6d0e0daec8ef66a6297f9b0ca12b5db9a89cf38b534cad32df32a341a02c7aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c34e4abd8de5ccd369cefde7e160d6d32992012544f0b48bba3e0d003b2e3b79",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-21T03:13:54Z",
    "title_canon_sha256": "d4c0edc0ed2666a21059cc4a4f573488c5ffa377f5ca8859e5927b97e7a2af09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05498",
    "kind": "arxiv",
    "version": 1
  }
}