Pith Number

pith:AVJUZLSP

pith:2016:AVJUZLSPX6IEDLYM6OHXRZ26GE

not attested not anchored not stored refs pending

A characterization for asymptotic dimension growth

Goulnara Arzhantseva, Graham A. Niblo, Jiawen Zhang, Nick Wright

arxiv:1612.06638 v2 · 2016-12-20 · math.MG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVJUZLSPX6IEDLYM6OHXRZ26GE}

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	2026-05-18T00:20:56.874107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05534cae4fbf9041af0cf38f78e75e3133e1bc65c8b4e05f821e04de60414b82

Aliases

arxiv: 1612.06638 · arxiv_version: 1612.06638v2 · doi: 10.48550/arxiv.1612.06638 · pith_short_12: AVJUZLSPX6IE · pith_short_16: AVJUZLSPX6IEDLYM · pith_short_8: AVJUZLSP

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/AVJUZLSPX6IEDLYM6OHXRZ26GE \
  | 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: 05534cae4fbf9041af0cf38f78e75e3133e1bc65c8b4e05f821e04de60414b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b02f3aa66d951c1d4c5d70afaba1031d4a331ae15ef1304a8cafc56edabb1cb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-20T12:46:43Z",
    "title_canon_sha256": "352f1b84e6bc6cca38ec63e9837693927bbaf36fa0bb045e2116d71664b2d8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06638",
    "kind": "arxiv",
    "version": 2
  }
}