Pith Number

pith:ADAWKZJO

pith:2016:ADAWKZJOQW7LUJRKW22JML4GFO

not attested not anchored not stored refs pending

Generating series of cyclically fully commutative elements is rational

Mathias P\'etr\'eolle

arxiv:1612.03764 v1 · 2016-12-12 · 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{ADAWKZJOQW7LUJRKW22JML4GFO}

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	2026-05-18T00:55:18.369379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00c165652e85beba262ab6b4962f862bb73e8f878cb6de6ecd2770456faa554d

Aliases

arxiv: 1612.03764 · arxiv_version: 1612.03764v1 · doi: 10.48550/arxiv.1612.03764 · pith_short_12: ADAWKZJOQW7L · pith_short_16: ADAWKZJOQW7LUJRK · pith_short_8: ADAWKZJO

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/ADAWKZJOQW7LUJRKW22JML4GFO \
  | 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: 00c165652e85beba262ab6b4962f862bb73e8f878cb6de6ecd2770456faa554d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49946c333245a8cafd6f83e492f2674164299c5d791a150353dbc53d3c826a93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-12T16:16:44Z",
    "title_canon_sha256": "140039b3556b70421da5869252747d043bb9da91ec6dd4d13ab1fb5a245ea83a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03764",
    "kind": "arxiv",
    "version": 1
  }
}