Pith Number

pith:3KZ64GZG

pith:2011:3KZ64GZGHNVIT56YJ5GL3PWSG3

not attested not anchored not stored refs pending

Around King's Rank-One theorems: Flows and Z^n-actions

\'Elise Janvresse (LMRS), Thierry de la Rue (LMRS), Valery Ryzhikov

arxiv:1108.2767 v3 · 2011-08-13 · math.PR · 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{3KZ64GZGHNVIT56YJ5GL3PWSG3}

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	2026-05-18T04:04:15.186230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab3ee1b263b6a89f7d84f4cbdbed236f821af9ee9fe87ecd7742ba1c8b5da4a

Aliases

arxiv: 1108.2767 · arxiv_version: 1108.2767v3 · doi: 10.48550/arxiv.1108.2767 · pith_short_12: 3KZ64GZGHNVI · pith_short_16: 3KZ64GZGHNVIT56Y · pith_short_8: 3KZ64GZG

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/3KZ64GZGHNVIT56YJ5GL3PWSG3 \
  | 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: dab3ee1b263b6a89f7d84f4cbdbed236f821af9ee9fe87ecd7742ba1c8b5da4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd2730e4ddffcd78a0e2071db6a5aa3f5c7d3867ad2f926971c1bf45c355b56",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-13T06:55:41Z",
    "title_canon_sha256": "ecb382ba59231638e7f4ddc417c77374a712982dcfd22bb3e16d3be40199b59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2767",
    "kind": "arxiv",
    "version": 3
  }
}