Pith Number

pith:WOBXLFA4

pith:2017:WOBXLFA4T4OBTDYTO66WDPMZYE

not attested not anchored not stored refs pending

Random permutations without macroscopic cycles

Dirk Zeindler, Helge Sch\"afer, Volker Betz

arxiv:1712.04738 v2 · 2017-12-13 · 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{WOBXLFA4T4OBTDYTO66WDPMZYE}

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	2026-05-17T23:57:50.859673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b38375941c9f1c198f1377bd61bd99c10ce89c2036bb2eb36aba71647a99ba55

Aliases

arxiv: 1712.04738 · arxiv_version: 1712.04738v2 · doi: 10.48550/arxiv.1712.04738 · pith_short_12: WOBXLFA4T4OB · pith_short_16: WOBXLFA4T4OBTDYT · pith_short_8: WOBXLFA4

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/WOBXLFA4T4OBTDYTO66WDPMZYE \
  | 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: b38375941c9f1c198f1377bd61bd99c10ce89c2036bb2eb36aba71647a99ba55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbda56980f09810fbf6a2d859c309b3716cca3aa2c64c0f1e16357439ae7f9fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-13T12:36:19Z",
    "title_canon_sha256": "e2237e147417f2765da46439ae12644ee3af787a30051b6920b2b785c15a3cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04738",
    "kind": "arxiv",
    "version": 2
  }
}