Pith Number

pith:RAEH7OTX

pith:2016:RAEH7OTXRKDMW3FMNUOL3SBF2E

not attested not anchored not stored refs pending

Exactness of locally compact groups

Chris Cave, Jacek Brodzki, Kang Li

arxiv:1603.01829 v3 · 2016-03-06 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAEH7OTXRKDMW3FMNUOL3SBF2E}

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	2026-05-18T00:48:09.927856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88087fba778a86cb6cac6d1cbdc825d10c16c1250422fc7c3becd45dffab3031

Aliases

arxiv: 1603.01829 · arxiv_version: 1603.01829v3 · doi: 10.48550/arxiv.1603.01829 · pith_short_12: RAEH7OTXRKDM · pith_short_16: RAEH7OTXRKDMW3FM · pith_short_8: RAEH7OTX

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/RAEH7OTXRKDMW3FMNUOL3SBF2E \
  | 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: 88087fba778a86cb6cac6d1cbdc825d10c16c1250422fc7c3becd45dffab3031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588cb9c9a4170bdffa262bf6a6aa74bdc06b2277c74cb14c58da9543577ccb23",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-06T13:49:30Z",
    "title_canon_sha256": "c2c37aebd59ee10cbb5424030e60419403938df9f1aa278a1b908abfa3e71de2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01829",
    "kind": "arxiv",
    "version": 3
  }
}