Pith Number

pith:5HAQTMMO

pith:2010:5HAQTMMO32XRIRBWSGL3AWDW2L

not attested not anchored not stored refs pending

Groupes de r\'eflexion, g\'eom\'etrie du discriminant et partitions non-crois\'ees

Vivien Ripoll

arxiv:1010.4349 v1 · 2010-10-21 · math.GR · 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{5HAQTMMO32XRIRBWSGL3AWDW2L}

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	2026-05-18T04:38:58.810400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c109b18edeaf1444369197b05876d2ddaeec22b7be48aa8eac583283384875

Aliases

arxiv: 1010.4349 · arxiv_version: 1010.4349v1 · doi: 10.48550/arxiv.1010.4349 · pith_short_12: 5HAQTMMO32XR · pith_short_16: 5HAQTMMO32XRIRBW · pith_short_8: 5HAQTMMO

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/5HAQTMMO32XRIRBWSGL3AWDW2L \
  | 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: e9c109b18edeaf1444369197b05876d2ddaeec22b7be48aa8eac583283384875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b2224875e37c4e5f097bd2a045cde897f573f395fe04c4976071ac6171d017",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-21T01:40:59Z",
    "title_canon_sha256": "828bc78b6f74c37f00a4b20f1219e93aab6cbc618fbe09814254e11a88ef72a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4349",
    "kind": "arxiv",
    "version": 1
  }
}