Pith Number

pith:PFYHFLTQ

pith:2007:PFYHFLTQS7AMWNOLGQX4TTGJGM

not attested not anchored not stored refs pending

Trees, functional equations, and combinatorial Hopf algebras

Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon

arxiv:math/0701539 v1 · 2007-01-19 · 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{PFYHFLTQS7AMWNOLGQX4TTGJGM}

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	2026-05-18T03:34:00.421184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797072ae7097c0cb35cb342fc9ccc933312ad68754179be7a78c12b9a896a1cf

Aliases

arxiv: math/0701539 · arxiv_version: math/0701539v1 · doi: 10.48550/arxiv.math/0701539 · pith_short_12: PFYHFLTQS7AM · pith_short_16: PFYHFLTQS7AMWNOL · pith_short_8: PFYHFLTQ

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/PFYHFLTQS7AMWNOLGQX4TTGJGM \
  | 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: 797072ae7097c0cb35cb342fc9ccc933312ad68754179be7a78c12b9a896a1cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1f9c75f5e0ca42c2a2acd2f6722d8cf71412625f0e1313ab64d2f5453fb5519",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-01-19T15:13:09Z",
    "title_canon_sha256": "483dc04a446fd6b3de13a1e7bfd878fc7c77e6f862c5f59e9e70f29c57cc9a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701539",
    "kind": "arxiv",
    "version": 1
  }
}