Pith Number

pith:BR2NI63B

pith:2011:BR2NI63BWJNMKJCGNTG47V2SGX

not attested not anchored not stored refs pending

Unimodality of Eulerian quasisymmetric functions

Anthony Henderson, Michelle L. Wachs

arxiv:1101.4441 v1 · 2011-01-24 · 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{BR2NI63BWJNMKJCGNTG47V2SGX}

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	2026-05-18T04:08:44.709114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c74d47b61b25ac524466ccdcfd75235c1d731fcf1249a9faf9bc68c16306067

Aliases

arxiv: 1101.4441 · arxiv_version: 1101.4441v1 · doi: 10.48550/arxiv.1101.4441 · pith_short_12: BR2NI63BWJNM · pith_short_16: BR2NI63BWJNMKJCG · pith_short_8: BR2NI63B

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/BR2NI63BWJNMKJCGNTG47V2SGX \
  | 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: 0c74d47b61b25ac524466ccdcfd75235c1d731fcf1249a9faf9bc68c16306067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7932a5aef231b147dbbb9ebb4f53903b13c809bf900c192e0dc7d6fa804145df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-24T04:11:57Z",
    "title_canon_sha256": "db5b2f5a4d0f5a0d77b53ede7dda756de5ab470d193530270e4ea534ca3fda54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4441",
    "kind": "arxiv",
    "version": 1
  }
}