Pith Number

pith:ZWHC2IRF

pith:2007:ZWHC2IRFQDIOCYEY5WWQSUQCTI

not attested not anchored not stored refs pending

Assouad-Nagata dimension of locally finite groups and asymptotic cones

J.Higes

arxiv:0711.1512 v3 · 2007-11-09 · math.MG · math.GR · 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{ZWHC2IRFQDIOCYEY5WWQSUQCTI}

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	2026-05-18T00:56:51.335231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8e2d222580d0e16098edad0952029a17db51137fb3c16ca9daaa8940abad93

Aliases

arxiv: 0711.1512 · arxiv_version: 0711.1512v3 · doi: 10.48550/arxiv.0711.1512 · pith_short_12: ZWHC2IRFQDIO · pith_short_16: ZWHC2IRFQDIOCYEY · pith_short_8: ZWHC2IRF

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/ZWHC2IRFQDIOCYEY5WWQSUQCTI \
  | 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: cd8e2d222580d0e16098edad0952029a17db51137fb3c16ca9daaa8940abad93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33bb15287446499924b450b200eab6375cda7bfc9db52d258fa78bad05d7ca34",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2007-11-09T17:52:31Z",
    "title_canon_sha256": "ec1ae356988675d82e61e2f0ac66b45dd851c3fe4789273a9ebeb28feb78cfa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1512",
    "kind": "arxiv",
    "version": 3
  }
}