Pith Number

pith:E3ONX3E5

pith:2013:E3ONX3E5INGZ6WAWHOIULNWOIM

not attested not anchored not stored refs pending

Binary shuffle bases for quasi-symmetric functions

Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:1305.5032 v1 · 2013-05-22 · 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{E3ONX3E5INGZ6WAWHOIULNWOIM}

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	2026-05-18T03:25:13.707397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26dcdbec9d434d9f58163b9145b6ce4313dec2d397610227becd9f19441c96fe

Aliases

arxiv: 1305.5032 · arxiv_version: 1305.5032v1 · doi: 10.48550/arxiv.1305.5032 · pith_short_12: E3ONX3E5INGZ · pith_short_16: E3ONX3E5INGZ6WAW · pith_short_8: E3ONX3E5

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/E3ONX3E5INGZ6WAWHOIULNWOIM \
  | 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: 26dcdbec9d434d9f58163b9145b6ce4313dec2d397610227becd9f19441c96fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fa47375b41b430850c857d82302f929a44fab614c73163d7792356ce61ac480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-22T07:10:14Z",
    "title_canon_sha256": "24031686e90e4a83d723e4c814a7d199c4384c36ff21a7a650e6600bbb2fbb02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5032",
    "kind": "arxiv",
    "version": 1
  }
}