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Pith Number

pith:ZDS365IO

pith:2004:ZDS365IOCJKPY4LOU2EREWNAHC
not attested not anchored not stored refs pending

Roughening and inclination of competition interfaces

James B. Martin, Leandro P. R. Pimentel, Pablo A. Ferrari

arxiv:math/0412198 v2 · 2004-12-09 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZDS365IOCJKPY4LOU2EREWNAHC}

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 2026-05-18T04:08:35.878920Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8e5bf750e1254fc716ea6891259a0388a65786965d15d695686ed7a4f91bb8f

Aliases

arxiv: math/0412198 · arxiv_version: math/0412198v2 · doi: 10.48550/arxiv.math/0412198 · pith_short_12: ZDS365IOCJKP · pith_short_16: ZDS365IOCJKPY4LO · pith_short_8: ZDS365IO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZDS365IOCJKPY4LOU2EREWNAHC \
  | 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: c8e5bf750e1254fc716ea6891259a0388a65786965d15d695686ed7a4f91bb8f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "290d31078f12aa4959f1d5c09f94d3d165a5f6d63894c6de2255a89613ffa2f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-12-09T17:35:34Z",
    "title_canon_sha256": "1ca2adbfb5bf7c3f8d28936f7be0e8a1407a680a7e96f5c2e7934965fb4de007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412198",
    "kind": "arxiv",
    "version": 2
  }
}