Pith Number

pith:4FFEMSEF

pith:2018:4FFEMSEFRFOLTYWUDMZPJFANBB

not attested not anchored not stored refs pending

Almost Hyperbolic Groups with Almost Finitely Presented Subgroups

Robert Kropholler

arxiv:1802.01658 v1 · 2018-02-05 · 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{4FFEMSEFRFOLTYWUDMZPJFANBB}

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	2026-05-18T00:24:21.767289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e14a464885895cb9e2d41b32f4940d085cdf9c2a13398f952ed37e2fa4385933

Aliases

arxiv: 1802.01658 · arxiv_version: 1802.01658v1 · doi: 10.48550/arxiv.1802.01658 · pith_short_12: 4FFEMSEFRFOL · pith_short_16: 4FFEMSEFRFOLTYWU · pith_short_8: 4FFEMSEF

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/4FFEMSEFRFOLTYWUDMZPJFANBB \
  | 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: e14a464885895cb9e2d41b32f4940d085cdf9c2a13398f952ed37e2fa4385933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d80241c1355f9703b52d4b6698111c4a663264b8115ed6bc9625436cef6040",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-05T20:48:11Z",
    "title_canon_sha256": "d931ba7f4c31d7a1978ac8ac8785f8da2ffb9eee73f6c3718a6d39e80004d310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01658",
    "kind": "arxiv",
    "version": 1
  }
}