Pith Number

pith:IIZ4G5VR

pith:2007:IIZ4G5VR3EEMBVRBOVWGRMZNTE

not attested not anchored not stored refs pending

On the space of oriented geodesics of hyperbolic 3-space

Brendan Guilfoyle, Nikos Georgiou

arxiv:math/0702276 v2 · 2007-02-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIZ4G5VR3EEMBVRBOVWGRMZNTE}

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	2026-05-18T00:51:37.874962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4233c376b1d908c0d621756c68b32d993ff9d2bbd5b59f5a57529851bafe43e5

Aliases

arxiv: math/0702276 · arxiv_version: math/0702276v2 · doi: 10.48550/arxiv.math/0702276 · pith_short_12: IIZ4G5VR3EEM · pith_short_16: IIZ4G5VR3EEMBVRB · pith_short_8: IIZ4G5VR

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/IIZ4G5VR3EEMBVRBOVWGRMZNTE \
  | 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: 4233c376b1d908c0d621756c68b32d993ff9d2bbd5b59f5a57529851bafe43e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9084288c0381bd5d06491fbc6b313457e24c289a80a3e13e05e339e8a2af64e5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-02-09T22:16:09Z",
    "title_canon_sha256": "e36edf2125d8d2107db472d2291e6dd817dde5137bc30f782d7a6c6db9e17814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702276",
    "kind": "arxiv",
    "version": 2
  }
}