Pith Number

pith:OO56HCM5

pith:2014:OO56HCM5KW54DGDYCHPK5V3EBD

not attested not anchored not stored refs pending

Metric geometry of locally compact groups

Pierre de la Harpe, Yves Cornulier

arxiv:1403.3796 v4 · 2014-03-15 · math.GR · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OO56HCM5KW54DGDYCHPK5V3EBD}

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	2026-05-18T00:56:12.702026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73bbe3899d55bbc1987811deaed76408d79ec74e37b7dac93238f5a4cdf91ff5

Aliases

arxiv: 1403.3796 · arxiv_version: 1403.3796v4 · doi: 10.48550/arxiv.1403.3796 · pith_short_12: OO56HCM5KW54 · pith_short_16: OO56HCM5KW54DGDY · pith_short_8: OO56HCM5

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/OO56HCM5KW54DGDYCHPK5V3EBD \
  | 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: 73bbe3899d55bbc1987811deaed76408d79ec74e37b7dac93238f5a4cdf91ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d465bb6de90c454dcab99b567d0e0672c53a2eb558ad7eb2ed58c9f693ea6c88",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-15T12:40:08Z",
    "title_canon_sha256": "ec1a6d80f23fb60208551721dd6b2c58f736b5875873fc241303eac26ff7b671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3796",
    "kind": "arxiv",
    "version": 4
  }
}