Pith Number

pith:25GCRSEH

pith:2013:25GCRSEH24JXYBWVUZ2QRC7FAQ

not attested not anchored not stored refs pending

Arithmeticity and topology of smooth actions of higher rank abelian groups

Anatole Katok, Federico Rodriguez Hertz

arxiv:1305.7262 v1 · 2013-05-30 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25GCRSEH24JXYBWVUZ2QRC7FAQ}

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	2026-05-18T03:22:07.382612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74c28c887d7137c06d5a675088be5041a9bc0c9391eba238585889fe15cb4ba

Aliases

arxiv: 1305.7262 · arxiv_version: 1305.7262v1 · doi: 10.48550/arxiv.1305.7262 · pith_short_12: 25GCRSEH24JX · pith_short_16: 25GCRSEH24JXYBWV · pith_short_8: 25GCRSEH

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/25GCRSEH24JXYBWVUZ2QRC7FAQ \
  | 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: d74c28c887d7137c06d5a675088be5041a9bc0c9391eba238585889fe15cb4ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a9e41275c001ee218c1f875deec78e2280964876ae56033921cd78dfb9d0e2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-30T22:32:58Z",
    "title_canon_sha256": "54d24ed53afcf44b10043e62edde224103baaeaf8dada795d04368089525b76a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7262",
    "kind": "arxiv",
    "version": 1
  }
}