Pith Number

pith:JZOFFZC3

pith:2011:JZOFFZC3Q6T4HPKJVGHTYMRWPN

not attested not anchored not stored refs pending

Noncommutative Symmetric Functions and an Amazing Matrix

Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:1109.1184 v1 · 2011-09-06 · 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{JZOFFZC3Q6T4HPKJVGHTYMRWPN}

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	2026-05-18T03:34:03.561720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e5c52e45b87a7c3bd49a98f3c32367b5404ae97609088432b6bea96cda300ac

Aliases

arxiv: 1109.1184 · arxiv_version: 1109.1184v1 · doi: 10.48550/arxiv.1109.1184 · pith_short_12: JZOFFZC3Q6T4 · pith_short_16: JZOFFZC3Q6T4HPKJ · pith_short_8: JZOFFZC3

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/JZOFFZC3Q6T4HPKJVGHTYMRWPN \
  | 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: 4e5c52e45b87a7c3bd49a98f3c32367b5404ae97609088432b6bea96cda300ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71adbbbad418c7150ac99862198d40f5b2716c1082986511ceb7ee59107f7f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-06T13:43:13Z",
    "title_canon_sha256": "00b7af69afb830056e17e8f63a698ab4581bb6110c74b53e20e2901f2f23bae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1184",
    "kind": "arxiv",
    "version": 1
  }
}