Pith Number

pith:TNPGETQT

pith:2011:TNPGETQT6NHZYMWXC5KB4YERK6

not attested not anchored not stored refs pending

Factorial cluster algebras

Bernard Leclerc, Christof Gei{\ss}, Jan Schr\"oer

arxiv:1110.1199 v4 · 2011-10-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNPGETQT6NHZYMWXC5KB4YERK6}

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	2026-05-18T03:26:10.475718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b5e624e13f34f9c32d717541e609157ae77e84a518c85a7b14b61af0e33c654

Aliases

arxiv: 1110.1199 · arxiv_version: 1110.1199v4 · doi: 10.48550/arxiv.1110.1199 · pith_short_12: TNPGETQT6NHZ · pith_short_16: TNPGETQT6NHZYMWX · pith_short_8: TNPGETQT

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/TNPGETQT6NHZYMWXC5KB4YERK6 \
  | 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: 9b5e624e13f34f9c32d717541e609157ae77e84a518c85a7b14b61af0e33c654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "803c0a79b05daa2749a029d4116a847765b426055121a8bc93d18d008b74fb87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-06T09:53:00Z",
    "title_canon_sha256": "2b5bb297d8414f6907a0d7b6c89ad01e2674ebc4e8fa2f8cc4a7668095db287c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1199",
    "kind": "arxiv",
    "version": 4
  }
}