Pith Number

pith:LZQIBYVU

pith:2011:LZQIBYVU4NOCERRL2DWWRVW6ID

not attested not anchored not stored refs pending

Quasi-actions and rough Cayley graphs for locally compact groups

Pekka Salmi

arxiv:1112.6415 v2 · 2011-12-29 · 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{LZQIBYVU4NOCERRL2DWWRVW6ID}

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	2026-05-18T03:16:40.617437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6080e2b4e35c22462bd0ed68d6de40dc058d35333acb0d656772357a805519

Aliases

arxiv: 1112.6415 · arxiv_version: 1112.6415v2 · doi: 10.48550/arxiv.1112.6415 · pith_short_12: LZQIBYVU4NOC · pith_short_16: LZQIBYVU4NOCERRL · pith_short_8: LZQIBYVU

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/LZQIBYVU4NOCERRL2DWWRVW6ID \
  | 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: 5e6080e2b4e35c22462bd0ed68d6de40dc058d35333acb0d656772357a805519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d695bdfedf4429f1ec9df893feb8f5b2488485e744d56e6543dbbd0377062488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-29T20:40:20Z",
    "title_canon_sha256": "4aa6339b19550bf2fb1c45e78d52f84c271cafc47ca39591cc4b02c9d39623cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6415",
    "kind": "arxiv",
    "version": 2
  }
}