Pith Number

pith:AHC6U7UN

pith:2002:AHC6U7UNFHDJJU3V6GLF3NLBXH

not attested not anchored not stored refs pending

Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary

Bruce Kleiner, Mario Bonk

arxiv:math/0208135 v3 · 2002-08-19 · math.GR · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHC6U7UNFHDJJU3V6GLF3NLBXH}

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	2026-05-18T02:38:00.595997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c5ea7e8d29c694d375f1965db561b9c16ff7415352a977f67558d9efa61414

Aliases

arxiv: math/0208135 · arxiv_version: math/0208135v3 · doi: 10.48550/arxiv.math/0208135 · pith_short_12: AHC6U7UNFHDJ · pith_short_16: AHC6U7UNFHDJJU3V · pith_short_8: AHC6U7UN

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/AHC6U7UNFHDJJU3V6GLF3NLBXH \
  | 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: 01c5ea7e8d29c694d375f1965db561b9c16ff7415352a977f67558d9efa61414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af49de4511388967e686e297d2a1951ccc86c68ab5001f570d2617ac71041603",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-08-19T15:52:37Z",
    "title_canon_sha256": "3625ff7c0c15437e4978e8c4576a4606c16ee956416398d91549c4d2fb33690a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208135",
    "kind": "arxiv",
    "version": 3
  }
}