Pith Number

pith:GB5SPGDL

pith:2002:GB5SPGDLQ6QUDSNGKXVV6KMNOU

not attested not anchored not stored refs pending

Hyperbolic cone-manifolds, short geodesics and Schwarzian derivatives

Kenneth Bromberg

arxiv:math/0211401 v1 · 2002-11-26 · math.GT · 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{GB5SPGDLQ6QUDSNGKXVV6KMNOU}

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	2026-07-04T14:36:46.228619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

307b27986b87a141c9a655eb5f298d7512b5581bb83fdf2f05301ceb017b4d3e

Aliases

arxiv: math/0211401 · arxiv_version: math/0211401v1 · doi: 10.48550/arxiv.math/0211401 · pith_short_12: GB5SPGDLQ6QU · pith_short_16: GB5SPGDLQ6QUDSNG · pith_short_8: GB5SPGDL

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/GB5SPGDLQ6QUDSNGKXVV6KMNOU \
  | 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: 307b27986b87a141c9a655eb5f298d7512b5581bb83fdf2f05301ceb017b4d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "288c5cbdb2b6ddae2fc07652837bd769d63549c73bf0ec5d297424b5f570a112",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-11-26T07:59:52Z",
    "title_canon_sha256": "e2142984cb6957da4408f878cc7ae8b43cd6bf9c3818494d5242205a1a78fc74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211401",
    "kind": "arxiv",
    "version": 1
  }
}