Pith Number

pith:K4MWUFPA

pith:2012:K4MWUFPA677T3OHYPF4BT6VHOS

not attested not anchored not stored refs pending

Computing arithmetic Kleinian groups

Aurel Page (IMB, INRIA Bordeaux - Sud-Ouest)

arxiv:1206.0087 v3 · 2012-06-01 · math.NT · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4MWUFPA677T3OHYPF4BT6VHOS}

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	2026-05-18T03:12:48.570085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57196a15e0f7ff3db8f8797819faa774af0a9d4a5f08792e6668421661b574f8

Aliases

arxiv: 1206.0087 · arxiv_version: 1206.0087v3 · doi: 10.48550/arxiv.1206.0087 · pith_short_12: K4MWUFPA677T · pith_short_16: K4MWUFPA677T3OHY · pith_short_8: K4MWUFPA

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/K4MWUFPA677T3OHYPF4BT6VHOS \
  | 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: 57196a15e0f7ff3db8f8797819faa774af0a9d4a5f08792e6668421661b574f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d350068665e92ffaa42182017e16368c389d0b74f2e477a2ed51841e091947",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-01T06:12:47Z",
    "title_canon_sha256": "270d00ccfc4337a8c349a63ba01f565206a616243be412024e44e3eee9c6bbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0087",
    "kind": "arxiv",
    "version": 3
  }
}