Pith Number

pith:FITXECK2

pith:2015:FITXECK2CQMEPWY5ST3QZ3TFZ6

not attested not anchored not stored refs pending

Right-handed Hopf algebras and the preLie forest formula

Fr\'ed\'eric Menous (LM-Orsay), Fr\'ed\'eric Patras (JAD)

arxiv:1511.07403 v2 · 2015-11-23 · math.RA · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FITXECK2CQMEPWY5ST3QZ3TFZ6}

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	2026-05-18T01:23:07.857842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2772095a141847db1d94f70cee65cfa5ab3f45146d6b5ec69229318845610c

Aliases

arxiv: 1511.07403 · arxiv_version: 1511.07403v2 · doi: 10.48550/arxiv.1511.07403 · pith_short_12: FITXECK2CQME · pith_short_16: FITXECK2CQMEPWY5 · pith_short_8: FITXECK2

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/FITXECK2CQMEPWY5ST3QZ3TFZ6 \
  | 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: 2a2772095a141847db1d94f70cee65cfa5ab3f45146d6b5ec69229318845610c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad1ad5690f423168c8011fef0391c6157fd676ab5c6a1d058fe2483cafe24fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-23T20:25:28Z",
    "title_canon_sha256": "f1a5ca79751b9b8f3ebf6d32a1ac84d3b42846f6fad5bcac52502cbb26dcfbeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07403",
    "kind": "arxiv",
    "version": 2
  }
}