Pith Number

pith:72OT3PP7

pith:2012:72OT3PP7ROTUFPGQXFQEL4FDGH

not attested not anchored not stored refs pending

Geodesic growth in right-angled and even Coxeter groups

Laura Ciobanu, Yago Antol\'in

arxiv:1203.2752 v2 · 2012-03-13 · 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{72OT3PP7ROTUFPGQXFQEL4FDGH}

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	2026-05-18T03:50:25.345581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9d3dbdff8ba742bcd0b96045f0a331f780a7efaa828147f444fb12c5cd99b5

Aliases

arxiv: 1203.2752 · arxiv_version: 1203.2752v2 · doi: 10.48550/arxiv.1203.2752 · pith_short_12: 72OT3PP7ROTU · pith_short_16: 72OT3PP7ROTUFPGQ · pith_short_8: 72OT3PP7

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/72OT3PP7ROTUFPGQXFQEL4FDGH \
  | 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: fe9d3dbdff8ba742bcd0b96045f0a331f780a7efaa828147f444fb12c5cd99b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4075faa44b7e25a702d547472e0d3502a426949ea1853ad29fedf49125d1ee8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-13T10:00:12Z",
    "title_canon_sha256": "d6a1fd265a589bffea5fe62ea0cd557bd4b67518bf136738723e02f9d9239347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2752",
    "kind": "arxiv",
    "version": 2
  }
}