Pith Number

pith:AE4XHC5W

pith:2014:AE4XHC5WQGBHY3ITB2AF5U3VPU

not attested not anchored not stored refs pending

Resolutions of CAT(0) cube complexes and accessibility properties

Benjamin Beeker, Nir Lazarovich

arxiv:1411.0902 v1 · 2014-11-04 · 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{AE4XHC5WQGBHY3ITB2AF5U3VPU}

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	2026-05-18T01:04:14.857350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0139738bb681827c6d130e805ed3757d2257f723a75897ea704f2ea24045ef84

Aliases

arxiv: 1411.0902 · arxiv_version: 1411.0902v1 · doi: 10.48550/arxiv.1411.0902 · pith_short_12: AE4XHC5WQGBH · pith_short_16: AE4XHC5WQGBHY3IT · pith_short_8: AE4XHC5W

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/AE4XHC5WQGBHY3ITB2AF5U3VPU \
  | 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: 0139738bb681827c6d130e805ed3757d2257f723a75897ea704f2ea24045ef84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318f1ddc8f3a00b790c08871b103f8663ddfff07615db6211db0e6601964c413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-04T13:31:11Z",
    "title_canon_sha256": "2878c51b85d403e8fec2471ca224088953c339f210c10a8f1da26196b69dfe3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0902",
    "kind": "arxiv",
    "version": 1
  }
}