Pith Number

pith:4THD3BOT

pith:2016:4THD3BOT2DAYW6SPSFLHIIBBPZ

not attested not anchored not stored refs pending

Quasi-invariant measures for some amenable groups acting on the line

Crist\'obal Rivas, Nancy Guelman

arxiv:1607.05310 v1 · 2016-07-18 · math.DS · 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{4THD3BOT2DAYW6SPSFLHIIBBPZ}

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	2026-05-18T00:20:59.312028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ce3d85d3d0c18b7a4f91567420217e4504d4f09169cd1ae80cd361e1ed7d97

Aliases

arxiv: 1607.05310 · arxiv_version: 1607.05310v1 · doi: 10.48550/arxiv.1607.05310 · pith_short_12: 4THD3BOT2DAY · pith_short_16: 4THD3BOT2DAYW6SP · pith_short_8: 4THD3BOT

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/4THD3BOT2DAYW6SPSFLHIIBBPZ \
  | 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: e4ce3d85d3d0c18b7a4f91567420217e4504d4f09169cd1ae80cd361e1ed7d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b380ee5df694d3a1224a54ff8f7a91b73310fd87a50278f131ccbedf9430c00a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-18T20:19:42Z",
    "title_canon_sha256": "e7521bca6f34d54c871d48d54c3953f08c92a47a9267c1c1f76169325840fdf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05310",
    "kind": "arxiv",
    "version": 1
  }
}