Pith Number

pith:OPOKGPIQ

pith:2005:OPOKGPIQWYC6OFH4Q36RKNSOU2

not attested not anchored not stored refs pending

On hyperbolic 3-manifolds realizing the maximal distance between toroidal Dehn fillings

Hiroshi Goda, Masakazu Teragaito

arxiv:math/0501148 v2 · 2005-01-11 · 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{OPOKGPIQWYC6OFH4Q36RKNSOU2}

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	2026-05-18T02:41:32.123897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73dca33d10b605e714fc86fd15364ea6badfb8c732969bde72aaac4e2a9649c1

Aliases

arxiv: math/0501148 · arxiv_version: math/0501148v2 · doi: 10.48550/arxiv.math/0501148 · pith_short_12: OPOKGPIQWYC6 · pith_short_16: OPOKGPIQWYC6OFH4 · pith_short_8: OPOKGPIQ

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/OPOKGPIQWYC6OFH4Q36RKNSOU2 \
  | 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: 73dca33d10b605e714fc86fd15364ea6badfb8c732969bde72aaac4e2a9649c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ddae7da831071aacd2ecc1cf21e64a8faccdb7f860fe4008b9d9052896f320",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-01-11T06:51:20Z",
    "title_canon_sha256": "740bf1495579cede83b8e6f9a72dcadebec9b06a78b9197ed37ffbf9e5fbc680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501148",
    "kind": "arxiv",
    "version": 2
  }
}