Pith Number

pith:65HK4YWM

pith:2000:65HK4YWMOG3QGTKUPRYHCQDN5W

not attested not anchored not stored refs pending

A note on strong geometric isolation in 3-orbifolds

Danny Calegari

arxiv:math/0011126 v1 · 2000-11-17 · 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{65HK4YWMOG3QGTKUPRYHCQDN5W}

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	2026-07-04T14:34:55.565420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f74eae62cc71b7034d547c7071406ded9f2e105831e4bc30798e7d1e854bb305

Aliases

arxiv: math/0011126 · arxiv_version: math/0011126v1 · doi: 10.48550/arxiv.math/0011126 · pith_short_12: 65HK4YWMOG3Q · pith_short_16: 65HK4YWMOG3QGTKU · pith_short_8: 65HK4YWM

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/65HK4YWMOG3QGTKUPRYHCQDN5W \
  | 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: f74eae62cc71b7034d547c7071406ded9f2e105831e4bc30798e7d1e854bb305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cdb9f0740ae99d2372df8856bc1b18427892ad49c053d803e3218167a0b94d2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-11-17T16:46:22Z",
    "title_canon_sha256": "70a09d081bbf26f228fce02b9f7884666fef7698f1b9a3c94a85da0f41101ac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011126",
    "kind": "arxiv",
    "version": 1
  }
}