Pith Number

pith:UIROQNQT

pith:2015:UIROQNQTCJV2KZVV7BF4V6ETSV

not attested not anchored not stored refs pending

From Poset Topology to $q$-Eulerian Polynomials to Stanley's Chromatic Symmetric Functions

John Shareshian, Michelle L. Wachs

arxiv:1505.03530 v1 · 2015-05-13 · 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{UIROQNQTCJV2KZVV7BF4V6ETSV}

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	2026-05-18T02:09:53.838274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a222e83613126ba566b5f84bcaf8939545b18e1eadeedc6830d7d41a4201051b

Aliases

arxiv: 1505.03530 · arxiv_version: 1505.03530v1 · doi: 10.48550/arxiv.1505.03530 · pith_short_12: UIROQNQTCJV2 · pith_short_16: UIROQNQTCJV2KZVV · pith_short_8: UIROQNQT

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/UIROQNQTCJV2KZVV7BF4V6ETSV \
  | 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: a222e83613126ba566b5f84bcaf8939545b18e1eadeedc6830d7d41a4201051b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f824ef2c0ad747359eb34c80746172c548d89d69a0b4c3362aac7ddee6784c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-13T20:01:01Z",
    "title_canon_sha256": "480ca8113148070e124e7e5901e03237a574e19643cc712366bd465a92a746f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03530",
    "kind": "arxiv",
    "version": 1
  }
}