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Pith Number

pith:UUKRFZBN

pith:2017:UUKRFZBNFEHCKL3MUBJWWSFOGQ
not attested not anchored not stored refs pending

Sample path properties of permanental processes

Jay Rosen, Michael B. Marcus

arxiv:1708.09431 v2 · 2017-08-30 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UUKRFZBNFEHCKL3MUBJWWSFOGQ}

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 2026-05-18T00:31:28.719329Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a51512e42d290e252f6ca0536b48ae3432bddab5ba9455ef9f10cae3fcc54430

Aliases

arxiv: 1708.09431 · arxiv_version: 1708.09431v2 · doi: 10.48550/arxiv.1708.09431 · pith_short_12: UUKRFZBNFEHC · pith_short_16: UUKRFZBNFEHCKL3M · pith_short_8: UUKRFZBN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UUKRFZBNFEHCKL3MUBJWWSFOGQ \
  | 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: a51512e42d290e252f6ca0536b48ae3432bddab5ba9455ef9f10cae3fcc54430
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0add07553714739433d5c4010909565fdfea8a588317c91e3b77556cbf09adeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-30T19:07:20Z",
    "title_canon_sha256": "b0af140099621a9ab443b708d77467dd03eee3c219d15970fce3d3b90bbd5e9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09431",
    "kind": "arxiv",
    "version": 2
  }
}