Pith Number

pith:SSXYSJAQ

pith:2008:SSXYSJAQ5PKLG2PV66IEDFUDX6

not attested not anchored not stored refs pending

Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited

Florent Hivert, Gerard H. E. Duchamp, Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:0809.4479 v2 · 2008-09-25 · 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{SSXYSJAQ5PKLG2PV66IEDFUDX6}

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	2026-05-18T03:34:12.526638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94af892410ebd4b369f5f790419683bf9daafa080b4af8a7c5761205d14c4d44

Aliases

arxiv: 0809.4479 · arxiv_version: 0809.4479v2 · doi: 10.48550/arxiv.0809.4479 · pith_short_12: SSXYSJAQ5PKL · pith_short_16: SSXYSJAQ5PKLG2PV · pith_short_8: SSXYSJAQ

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/SSXYSJAQ5PKLG2PV66IEDFUDX6 \
  | 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: 94af892410ebd4b369f5f790419683bf9daafa080b4af8a7c5761205d14c4d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76fc82282eec10c8e87e443adfce42d7402703d037be895b2786d688b19d59b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-09-25T19:24:10Z",
    "title_canon_sha256": "246d1e0c121c8dd1b00ce090d05fc8c6bd5842f3e5f5972534c98d1d079803c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4479",
    "kind": "arxiv",
    "version": 2
  }
}