Pith Number

pith:6F7U5UU7

pith:2024:6F7U5UU7W6RTXGQR4RPXTY4BRD

not attested not anchored not stored refs pending

High-dimensional permutons: theory and applications

Andrew Lin, Jacopo Borga

arxiv:2412.19730 v3 · 2024-12-27 · math.PR · math-ph · math.CO · 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{6F7U5UU7W6RTXGQR4RPXTY4BRD}

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	2026-07-05T10:07:47.240047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f17f4ed29fb7a33b9a11e45f79e38188df044fdb28a83fa83ef2c5a0ceef3e2c

Aliases

arxiv: 2412.19730 · arxiv_version: 2412.19730v3 · doi: 10.48550/arxiv.2412.19730 · pith_short_12: 6F7U5UU7W6RT · pith_short_16: 6F7U5UU7W6RTXGQR · pith_short_8: 6F7U5UU7

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/6F7U5UU7W6RTXGQR4RPXTY4BRD \
  | 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: f17f4ed29fb7a33b9a11e45f79e38188df044fdb28a83fa83ef2c5a0ceef3e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0003eb269e4031ef910a7f625eba979c8aafdcd8bcfd0d9015c0c7aa84cf39a4",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-27T16:40:41Z",
    "title_canon_sha256": "7bf7f1bb277d3e039907e7f00964d828fc6d1fe693761635d2306d9db8db0208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19730",
    "kind": "arxiv",
    "version": 3
  }
}