Pith Number

pith:VQ6WARKA

pith:2019:VQ6WARKALVYVNLTAVQ7GK3KHBE

not attested not anchored not stored refs pending

On the space of ends of infinitely generated groups

Yves Cornulier

arxiv:1901.11073 v3 · 2019-01-30 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQ6WARKALVYVNLTAVQ7GK3KHBE}

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	2026-05-17T23:41:45.238230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3d6045405d7156ae60ac3e656d4709289d3f86ec4f2265a65e2cc8e94ed65e

Aliases

arxiv: 1901.11073 · arxiv_version: 1901.11073v3 · doi: 10.48550/arxiv.1901.11073 · pith_short_12: VQ6WARKALVYV · pith_short_16: VQ6WARKALVYVNLTA · pith_short_8: VQ6WARKA

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/VQ6WARKALVYVNLTAVQ7GK3KHBE \
  | 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: ac3d6045405d7156ae60ac3e656d4709289d3f86ec4f2265a65e2cc8e94ed65e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a8cc6291bae15e28e9c5843edfa602a3675f50b9e39a0aefc2fbf5c99e06757",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-30T19:51:04Z",
    "title_canon_sha256": "aee9a5a464a62d70e03b7d2d43cb56ae91f18e88c6ea3c4f519a736ddce765aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11073",
    "kind": "arxiv",
    "version": 3
  }
}