pith. sign in
Pith Number

pith:ORIS4JYJ

pith:2016:ORIS4JYJ5P32YAJQMFZTLHY4QT
not attested not anchored not stored refs pending

Randomly juggling backwards

Allen Knutson

arxiv:1601.06391 v1 · 2016-01-24 · math.CO · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ORIS4JYJ5P32YAJQMFZTLHY4QT}

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 2026-05-18T01:22:04.558948Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

74512e2709ebf7ac01306173359f1c84dc16161fee4c35c6e816de5a0148911f

Aliases

arxiv: 1601.06391 · arxiv_version: 1601.06391v1 · doi: 10.48550/arxiv.1601.06391 · pith_short_12: ORIS4JYJ5P32 · pith_short_16: ORIS4JYJ5P32YAJQ · pith_short_8: ORIS4JYJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ORIS4JYJ5P32YAJQMFZTLHY4QT \
  | 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: 74512e2709ebf7ac01306173359f1c84dc16161fee4c35c6e816de5a0148911f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d941ec2025a1be1014d82e3d1bcd47a140e8b644a15aa9f79e41ee184565b516",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-24T14:51:12Z",
    "title_canon_sha256": "8d9c3d87c9a7e30d2b66eb358649a46d34605d2e8af0b445cfb851a9debc4b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06391",
    "kind": "arxiv",
    "version": 1
  }
}