Pith Number

pith:IP2KES2A

pith:2014:IP2KES2AQMKWJLSWDRUTCSM2ER

not attested not anchored not stored refs pending

Permanence properties of property A and coarse embeddability for locally compact groups

Kang Li, Steven Deprez

arxiv:1403.7111 v1 · 2014-03-27 · math.OA · math.GR · math.KT · 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{IP2KES2AQMKWJLSWDRUTCSM2ER}

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	2026-05-18T02:55:26.481215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f4a24b40831564ae561c6931499a24794d1640a5cd8319f6089c79ff3bd199

Aliases

arxiv: 1403.7111 · arxiv_version: 1403.7111v1 · doi: 10.48550/arxiv.1403.7111 · pith_short_12: IP2KES2AQMKW · pith_short_16: IP2KES2AQMKWJLSW · pith_short_8: IP2KES2A

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/IP2KES2AQMKWJLSWDRUTCSM2ER \
  | 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: 43f4a24b40831564ae561c6931499a24794d1640a5cd8319f6089c79ff3bd199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6121082c72846e4d1fcdd067b03ef42fc926b3bea5307b763a8882daa461ea",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-03-27T16:16:16Z",
    "title_canon_sha256": "978f50ec378039d65fad86d6389658e9bd94d426ca296f2bf483c7d8108f71b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7111",
    "kind": "arxiv",
    "version": 1
  }
}