Pith Number

pith:WBXOTBFW

pith:2014:WBXOTBFWZ6LR635ST7PV7DVDBZ

not attested not anchored not stored refs pending

A Survey of Amenability Theory for Direct-Limit Groups

Gestur \'Olafsson, Matthew Dawson

arxiv:1411.0185 v2 · 2014-11-02 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBXOTBFWZ6LR635ST7PV7DVDBZ}

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	2026-05-18T01:29:04.686869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b06ee984b6cf971f6fb29fdf5f8ea30e7e6afc68a81c79751477c2efd69a0d3d

Aliases

arxiv: 1411.0185 · arxiv_version: 1411.0185v2 · doi: 10.48550/arxiv.1411.0185 · pith_short_12: WBXOTBFWZ6LR · pith_short_16: WBXOTBFWZ6LR635S · pith_short_8: WBXOTBFW

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/WBXOTBFWZ6LR635ST7PV7DVDBZ \
  | 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: b06ee984b6cf971f6fb29fdf5f8ea30e7e6afc68a81c79751477c2efd69a0d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183ab4a00084def87f0c34c919ef8d43629b60e76eeff46cd84be3be5d86d090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-11-02T00:04:26Z",
    "title_canon_sha256": "a761edb65c91cdd0e889dead9eb7cb4f6e84cf049ed365e89ad6d2c59852010d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0185",
    "kind": "arxiv",
    "version": 2
  }
}