Pith Number

pith:Q5I43EFD

pith:2026:Q5I43EFDLUMM4OG57RAX3LQH62

not attested not anchored not stored refs pending

Cutoff profiles for colored top-m-to-random shuffles with growing block size

Ivan Z. Feng

arxiv:2606.29530 v1 · 2026-06-28 · 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{Q5I43EFDLUMM4OG57RAX3LQH62}

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	2026-06-30T01:18:10.495161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8751cd90a35d18ce38ddfc417dae07f69d7b18df2b3cce68c23608118392ef4f

Aliases

arxiv: 2606.29530 · arxiv_version: 2606.29530v1 · doi: 10.48550/arxiv.2606.29530 · pith_short_12: Q5I43EFDLUMM · pith_short_16: Q5I43EFDLUMM4OG5 · pith_short_8: Q5I43EFD

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/Q5I43EFDLUMM4OG57RAX3LQH62 \
  | 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: 8751cd90a35d18ce38ddfc417dae07f69d7b18df2b3cce68c23608118392ef4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1bc55f552fdd79b8daaf8e38d902ea813ba9547d5923456047f73d3d0b8030",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-28T17:53:07Z",
    "title_canon_sha256": "f1b1d854359e8061f4f6fa8e2ce1dc9c1aaff034f594c6ddda45f366075af578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29530",
    "kind": "arxiv",
    "version": 1
  }
}