Pith Number

pith:6HV2ZCIR

pith:2017:6HV2ZCIR3XFKSGHHHXA6L23QSB

not attested not anchored not stored refs pending

Approximate fixed points and B-amenable groups

Jan Pachl

arxiv:1711.02171 v2 · 2017-11-06 · math.GR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HV2ZCIR3XFKSGHHHXA6L23QSB}

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	2026-05-18T00:05:39.557871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ebac8911ddcaa918e73dc1e5eb70907c2094396421b16efaf231667bbafb96

Aliases

arxiv: 1711.02171 · arxiv_version: 1711.02171v2 · doi: 10.48550/arxiv.1711.02171 · pith_short_12: 6HV2ZCIR3XFK · pith_short_16: 6HV2ZCIR3XFKSGHH · pith_short_8: 6HV2ZCIR

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/6HV2ZCIR3XFKSGHHHXA6L23QSB \
  | 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: f1ebac8911ddcaa918e73dc1e5eb70907c2094396421b16efaf231667bbafb96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed891cfbbfe170381f88244a12e0efe1702d9891dabb1acdf4c8ddbed4263ca9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-06T20:58:50Z",
    "title_canon_sha256": "b29ba465fd4264644e7f80d0109da2c6fe6e3616f00bc1ff26d3f67ebd9efe46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02171",
    "kind": "arxiv",
    "version": 2
  }
}