Pith Number

pith:BNWZJ2R7

pith:2013:BNWZJ2R7QSSSH5NLIISCJ5E2V4

not attested not anchored not stored refs pending

Acylindrically hyperbolic groups

D. Osin

arxiv:1304.1246 v4 · 2013-04-04 · 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{BNWZJ2R7QSSSH5NLIISCJ5E2V4}

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	2026-05-18T02:16:21.516146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6d94ea3f84a523f5ab422424f49aaf2f729c56a878adf793ce1aaf4e22cb65

Aliases

arxiv: 1304.1246 · arxiv_version: 1304.1246v4 · doi: 10.48550/arxiv.1304.1246 · pith_short_12: BNWZJ2R7QSSS · pith_short_16: BNWZJ2R7QSSSH5NL · pith_short_8: BNWZJ2R7

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/BNWZJ2R7QSSSH5NLIISCJ5E2V4 \
  | 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: 0b6d94ea3f84a523f5ab422424f49aaf2f729c56a878adf793ce1aaf4e22cb65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd12208a3838fd8a8a820d046394a180cd1f8e4b9fc2379052cd50fe0f28314",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-04T05:11:44Z",
    "title_canon_sha256": "9b3769149fd0e4c74785e3ad21035108c2bf5224b282ddff2f7a5a4d56cd04e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1246",
    "kind": "arxiv",
    "version": 4
  }
}