Pith Number

pith:ZUAP4USS

pith:2015:ZUAP4USSN2RCWI3EE5A5CFS324

not attested not anchored not stored refs pending

The contributions of Stanley to the fabric of symmetric and quasisymmetric functions

Peter R. W. McNamara, Sara C. Billey

arxiv:1505.01115 v2 · 2015-05-05 · 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{ZUAP4USSN2RCWI3EE5A5CFS324}

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	2026-05-17T23:45:15.885927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd00fe52526ea22b23642741d1165bd70f2eee336f9e5375d552ac5b219af564

Aliases

arxiv: 1505.01115 · arxiv_version: 1505.01115v2 · doi: 10.48550/arxiv.1505.01115 · pith_short_12: ZUAP4USSN2RC · pith_short_16: ZUAP4USSN2RCWI3E · pith_short_8: ZUAP4USS

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/ZUAP4USSN2RCWI3EE5A5CFS324 \
  | 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: cd00fe52526ea22b23642741d1165bd70f2eee336f9e5375d552ac5b219af564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0fb863b681df774cec19b1cc86cc95f94bdb9f6f96878885d63dede13529a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-05T18:26:04Z",
    "title_canon_sha256": "0076e55e901686575d6f9918a21042de26d6949dc8628a61ff75d31ac90ce423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01115",
    "kind": "arxiv",
    "version": 2
  }
}