Pith Number

pith:WCZTJDHC

pith:2010:WCZTJDHCNH3YU5HEWLBS6ZPOX5

not attested not anchored not stored refs pending

The Random Integral Representation Conjecture: a quarter of a century later

Zbigniew J. Jurek

arxiv:1009.2418 v2 · 2010-09-13 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCZTJDHCNH3YU5HEWLBS6ZPOX5}

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	2026-05-18T04:05:04.126956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b3348ce269f78a74e4b2c32f65eebf54d59045d79be2843c638fd3bb351e28

Aliases

arxiv: 1009.2418 · arxiv_version: 1009.2418v2 · doi: 10.48550/arxiv.1009.2418 · pith_short_12: WCZTJDHCNH3Y · pith_short_16: WCZTJDHCNH3YU5HE · pith_short_8: WCZTJDHC

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/WCZTJDHCNH3YU5HEWLBS6ZPOX5 \
  | 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: b0b3348ce269f78a74e4b2c32f65eebf54d59045d79be2843c638fd3bb351e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a9a10d2653ae3c908b31759ca2347485d33c84da56c6f95c84fc9ad19550ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-13T15:26:06Z",
    "title_canon_sha256": "38bbd66176e0d0c6525bb118d9c7053d51761f6c724916fc132fe0a1ecca243c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2418",
    "kind": "arxiv",
    "version": 2
  }
}