Pith Number

pith:ELLOY5CH

pith:2015:ELLOY5CH7P2WWPI25J22A6JGIO

not attested not anchored not stored refs pending

The monomial basis and the $Q$-basis of the Hopf algebra of parking functions

Teresa Xueshan Li

arxiv:1504.01719 v1 · 2015-04-07 · 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{ELLOY5CH7P2WWPI25J22A6JGIO}

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	2026-05-18T02:19:26.346870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d6ec7447fbf56b3d1aea75a079264395b17ace89c6b0e09c302fba821d21b4

Aliases

arxiv: 1504.01719 · arxiv_version: 1504.01719v1 · doi: 10.48550/arxiv.1504.01719 · pith_short_12: ELLOY5CH7P2W · pith_short_16: ELLOY5CH7P2WWPI2 · pith_short_8: ELLOY5CH

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/ELLOY5CH7P2WWPI25J22A6JGIO \
  | 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: 22d6ec7447fbf56b3d1aea75a079264395b17ace89c6b0e09c302fba821d21b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7f37d8b9ea0581b6ebc3efe89218ea1bdf9069ebf3c90226850d80c98e619d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-07T19:47:14Z",
    "title_canon_sha256": "487dc415927a37aec84abafad2f61ca6bf15acdad1e5c33f8c855955b48bc677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01719",
    "kind": "arxiv",
    "version": 1
  }
}