Pith Number

pith:I2OWVE6J

pith:2012:I2OWVE6JGA7SQUDAP6OYONEMA4

not attested not anchored not stored refs pending

Poincar\'e Bisectors in Hyperbolic Spaces

Ann Kiefer, Antonio Calixto de Souza Filho, Antonio de Andrade e Silva, Eric Jespers, Stanley Orlando Juriaans

arxiv:1205.1127 v3 · 2012-05-05 · math.GR · math.NT · 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{I2OWVE6JGA7SQUDAP6OYONEMA4}

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	2026-05-18T02:32:54.637697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469d6a93c9303f2850607f9d87348c0736b4689e3031ac14b74ff7739bb4fb00

Aliases

arxiv: 1205.1127 · arxiv_version: 1205.1127v3 · doi: 10.48550/arxiv.1205.1127 · pith_short_12: I2OWVE6JGA7S · pith_short_16: I2OWVE6JGA7SQUDA · pith_short_8: I2OWVE6J

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/I2OWVE6JGA7SQUDAP6OYONEMA4 \
  | 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: 469d6a93c9303f2850607f9d87348c0736b4689e3031ac14b74ff7739bb4fb00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0577ac54288809c0407891da43b3872559de0fd2fc761543c1fa92c31f8bfe14",
    "cross_cats_sorted": [
      "math.NT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-05T12:29:57Z",
    "title_canon_sha256": "fdf8cd29a31548c50f80a1a5e2248f14b03f2a693436be7deab5431234f202bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1127",
    "kind": "arxiv",
    "version": 3
  }
}