Pith Number

pith:CSOZQSAV

pith:2010:CSOZQSAVKB4WVKOITZ2R4HLDGB

not attested not anchored not stored refs pending

Random walks, Kleinian groups, and bifurcation currents

Bertrand Deroin, Romain Dujardin

arxiv:1011.1365 v3 · 2010-11-05 · math.GT · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSOZQSAVKB4WVKOITZ2R4HLDGB}

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	2026-05-18T04:04:54.952564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149d98481550796aa9c89e751e1d63307bd5bb6f0b251497029968550ed49b33

Aliases

arxiv: 1011.1365 · arxiv_version: 1011.1365v3 · doi: 10.48550/arxiv.1011.1365 · pith_short_12: CSOZQSAVKB4W · pith_short_16: CSOZQSAVKB4WVKOI · pith_short_8: CSOZQSAV

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/CSOZQSAVKB4WVKOITZ2R4HLDGB \
  | 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: 149d98481550796aa9c89e751e1d63307bd5bb6f0b251497029968550ed49b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69082458aec994c4b01d7840810dbb36dee6dba1f14dc6caf4d494b5fa9060b",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-05T10:57:52Z",
    "title_canon_sha256": "b4f6a579790cfe671a6a03b840399c2c68acd66a4d2ae5f32692b01c7005037b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1365",
    "kind": "arxiv",
    "version": 3
  }
}