Pith Number

pith:W4RQF5NH

pith:2013:W4RQF5NH2V4AIEDON2SWCJ35IF

not attested not anchored not stored refs pending

Universal properties of group actions on locally compact spaces

Hiroki Matui, Mikael Rordam

arxiv:1312.6027 v2 · 2013-12-20 · 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{W4RQF5NH2V4AIEDON2SWCJ35IF}

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	2026-05-18T02:32:00.203075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b72302f5a7d57804106e6ea561277d415fd7a75e40ff97add5dc03880997f331

Aliases

arxiv: 1312.6027 · arxiv_version: 1312.6027v2 · doi: 10.48550/arxiv.1312.6027 · pith_short_12: W4RQF5NH2V4A · pith_short_16: W4RQF5NH2V4AIEDO · pith_short_8: W4RQF5NH

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/W4RQF5NH2V4AIEDON2SWCJ35IF \
  | 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: b72302f5a7d57804106e6ea561277d415fd7a75e40ff97add5dc03880997f331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ebb3f6f1bd246ccb76dddcf260cfc541d5eaac889d221333203571c4893f62f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-20T16:41:21Z",
    "title_canon_sha256": "f03d35a443449ba431f4d2d29a15d6b4a2667fd6b7f75aa2fcd0fd67ac18be88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6027",
    "kind": "arxiv",
    "version": 2
  }
}