Pith Number

pith:IQP3UCN4

pith:2006:IQP3UCN4U6UGNKZDJUMBNFXXFE

not attested not anchored not stored refs pending

Random Sorting Networks

Alexander E. Holroyd, Balint Virag, Dan Romik, Omer Angel

arxiv:math/0609538 v1 · 2006-09-19 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQP3UCN4U6UGNKZDJUMBNFXXFE}

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	2026-05-18T04:08:35.513974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441fba09bca7a866ab234d181696f7292aaafc8fcbca668a366d74786721b3ac

Aliases

arxiv: math/0609538 · arxiv_version: math/0609538v1 · doi: 10.48550/arxiv.math/0609538 · pith_short_12: IQP3UCN4U6UG · pith_short_16: IQP3UCN4U6UGNKZD · pith_short_8: IQP3UCN4

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/IQP3UCN4U6UGNKZDJUMBNFXXFE \
  | 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: 441fba09bca7a866ab234d181696f7292aaafc8fcbca668a366d74786721b3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc7389be3a258553c6ae39cb1504ba8d1d0279e7e1da880bf03ffc5a201c704",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-09-19T23:25:11Z",
    "title_canon_sha256": "549ada32b9fe16be6b02aebf5a6ca90eeb8d5a9a01da437af2dd792dd301bee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609538",
    "kind": "arxiv",
    "version": 1
  }
}