pith. sign in
Pith Number

pith:7JYQ3YCH

pith:2015:7JYQ3YCHN7MSMTWYYSEHYM4DTJ
not attested not anchored not stored refs pending

Card-cyclic-to-random shuffling with relabeling

Johan Jonasson

arxiv:1501.05485 v3 · 2015-01-22 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7JYQ3YCHN7MSMTWYYSEHYM4DTJ}

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 2026-05-18T01:32:00.953269Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa710de0476fd9264ed8c4887c33839a7f4f2f4e34a76db7dfd29773a055dae1

Aliases

arxiv: 1501.05485 · arxiv_version: 1501.05485v3 · doi: 10.48550/arxiv.1501.05485 · pith_short_12: 7JYQ3YCHN7MS · pith_short_16: 7JYQ3YCHN7MSMTWY · pith_short_8: 7JYQ3YCH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7JYQ3YCHN7MSMTWYYSEHYM4DTJ \
  | 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: fa710de0476fd9264ed8c4887c33839a7f4f2f4e34a76db7dfd29773a055dae1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bbf9bb958f3fa322756c4e3f2ba3bba78bb8f72c2c338e8e53106f31991829f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-22T13:00:17Z",
    "title_canon_sha256": "cd82b790ee5d85775d884def0ce33833589470ff49aa9e67f18d3d6b6d4bc30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05485",
    "kind": "arxiv",
    "version": 3
  }
}