Pith Number

pith:XQ55B7C3

pith:2012:XQ55B7C3V5Q3VJRYSUNJKEAK6C

not attested not anchored not stored refs pending

The three smallest compact arithmetic hyperbolic 5-orbifolds

Ruth Kellerhals, Vincent Emery

arxiv:1205.2984 v1 · 2012-05-14 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQ55B7C3V5Q3VJRYSUNJKEAK6C}

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	2026-05-18T02:41:43.163730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3bd0fc5baf61baa638951a95100af08a29497ef2d8649c083bcb57a2362ec9

Aliases

arxiv: 1205.2984 · arxiv_version: 1205.2984v1 · doi: 10.48550/arxiv.1205.2984 · pith_short_12: XQ55B7C3V5Q3 · pith_short_16: XQ55B7C3V5Q3VJRY · pith_short_8: XQ55B7C3

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/XQ55B7C3V5Q3VJRYSUNJKEAK6C \
  | 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: bc3bd0fc5baf61baa638951a95100af08a29497ef2d8649c083bcb57a2362ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "521835c25a995777e15d1f6e438f9185c00aac40137b6c1afde83fabdc727870",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-05-14T11:40:33Z",
    "title_canon_sha256": "780ab324f93b4c6aeefb08ed38311fd80a6f42e9d586cc42c0462439834f6357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2984",
    "kind": "arxiv",
    "version": 1
  }
}