Pith Number

pith:DCAJMKPF

pith:2013:DCAJMKPFAXSM5YCB6VT5DATEEY

not attested not anchored not stored refs pending

Commability and focal locally compact groups

Yves Cornulier

arxiv:1306.4194 v4 · 2013-06-18 · 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{DCAJMKPFAXSM5YCB6VT5DATEEY}

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	2026-05-18T00:28:38.385073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18809629e505e4cee041f567d182642600ad8ecfb2f6a822fc7868e87cacfbb5

Aliases

arxiv: 1306.4194 · arxiv_version: 1306.4194v4 · doi: 10.48550/arxiv.1306.4194 · pith_short_12: DCAJMKPFAXSM · pith_short_16: DCAJMKPFAXSM5YCB · pith_short_8: DCAJMKPF

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/DCAJMKPFAXSM5YCB6VT5DATEEY \
  | 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: 18809629e505e4cee041f567d182642600ad8ecfb2f6a822fc7868e87cacfbb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70932ce5d962ddbb7c0839a892c92b63aabaee596dc31e56d6b79773804e6fb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-18T13:46:48Z",
    "title_canon_sha256": "2b6adabbe6808c642950a259d61338c8b26ff4b0b0c994a5e28346c2dc8ef7ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4194",
    "kind": "arxiv",
    "version": 4
  }
}