Pith Number

pith:5AYUH5L7

pith:2009:5AYUH5L7EIM5CSNVG6ZCFY537J

not attested not anchored not stored refs pending

Perfect simulation of a coupling achieving the $\bar{d}$-distance between ordered pairs of binary chains of infinite order

Antonio Galves, Clementine Prieur, Nancy L. Garcia

arxiv:0907.1113 v5 · 2009-07-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AYUH5L7EIM5CSNVG6ZCFY537J}

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	2026-05-18T04:39:50.427370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e83143f57f2219d149b537b222e3bbfa438acafb53dfd1ca202dd0fe047aaafe

Aliases

arxiv: 0907.1113 · arxiv_version: 0907.1113v5 · doi: 10.48550/arxiv.0907.1113 · pith_short_12: 5AYUH5L7EIM5 · pith_short_16: 5AYUH5L7EIM5CSNV · pith_short_8: 5AYUH5L7

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/5AYUH5L7EIM5CSNVG6ZCFY537J \
  | 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: e83143f57f2219d149b537b222e3bbfa438acafb53dfd1ca202dd0fe047aaafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f19712c32c1bef6a3967df7242f114c3aa6251fd61d53004f253a25d3530083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-06T21:52:35Z",
    "title_canon_sha256": "270e0931f074ae99aab3b681fafd63eff82b6ddeec8dd36efc27acd7722014a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1113",
    "kind": "arxiv",
    "version": 5
  }
}