Pith Number

pith:ODZA4HLC

pith:2009:ODZA4HLCXN4VDY6SIDEEK3HWMO

not attested not anchored not stored refs pending

Quasi-isometric classification of some high dimensional right-angled Artin groups

Jason A. Behrstock, Tadeusz Januszkiewicz, Walter D. Neumann

arxiv:0906.4519 v2 · 2009-06-24 · 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{ODZA4HLCXN4VDY6SIDEEK3HWMO}

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	2026-05-18T04:16:42.456778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f20e1d62bb7951e3d240c8456cf66386831c96e829af0bea2760670575369d

Aliases

arxiv: 0906.4519 · arxiv_version: 0906.4519v2 · doi: 10.48550/arxiv.0906.4519 · pith_short_12: ODZA4HLCXN4V · pith_short_16: ODZA4HLCXN4VDY6S · pith_short_8: ODZA4HLC

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/ODZA4HLCXN4VDY6SIDEEK3HWMO \
  | 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: 70f20e1d62bb7951e3d240c8456cf66386831c96e829af0bea2760670575369d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d32318390ef790e650b204fa33a537f7c047c3ac3e047b7757cd270ea09bc959",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-06-24T16:50:55Z",
    "title_canon_sha256": "6c75891d169a241513dedb458d3166f261c64bf95cb23f2a1bfbe02a14bbe7e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4519",
    "kind": "arxiv",
    "version": 2
  }
}