Pith Number

pith:RJU34BKY

pith:2004:RJU34BKY3CCR55CF7WXHK2MYP6

not attested not anchored not stored refs pending

Exchangeable measures for subshifts

H. Nakada, J. Aaronson, O. Sarig

arxiv:math/0406578 v4 · 2004-06-28 · math.DS · 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{RJU34BKY3CCR55CF7WXHK2MYP6}

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	2026-05-18T01:38:27.279905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a69be0558d8851ef445fdae7569987fb23121b9f55c86303e4ee0091c42f35a

Aliases

arxiv: math/0406578 · arxiv_version: math/0406578v4 · doi: 10.48550/arxiv.math/0406578 · pith_short_12: RJU34BKY3CCR · pith_short_16: RJU34BKY3CCR55CF · pith_short_8: RJU34BKY

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/RJU34BKY3CCR55CF7WXHK2MYP6 \
  | 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: 8a69be0558d8851ef445fdae7569987fb23121b9f55c86303e4ee0091c42f35a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e06fa99cd99ff3f24e9fa5b553cc64e54775dc7c06be196ecac006937bf5d2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-06-28T16:30:22Z",
    "title_canon_sha256": "4a775dcbfb908e1b056de073ff73d933dab2fc4aa968f36d5853ecb42cd7871f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406578",
    "kind": "arxiv",
    "version": 4
  }
}