Pith Number

pith:O7SCRAFM

pith:2018:O7SCRAFMPTFDRGDNJII7HYHK55

not attested not anchored not stored refs pending

Optimized mixing by cutting-and-shuffling

Julio M. Ottino, Lachlan D. Smith, Paul B. Umbanhowar, Richard M. Lueptow

arxiv:1803.08102 v1 · 2018-03-21 · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7SCRAFMPTFDRGDNJII7HYHK55}

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	2026-05-18T00:20:23.670938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e42880ac7cca38986d4a11f3e0eaef6fa1969750b2512958055247b3328d09

Aliases

arxiv: 1803.08102 · arxiv_version: 1803.08102v1 · doi: 10.48550/arxiv.1803.08102 · pith_short_12: O7SCRAFMPTFD · pith_short_16: O7SCRAFMPTFDRGDN · pith_short_8: O7SCRAFM

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/O7SCRAFMPTFDRGDNJII7HYHK55 \
  | 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: 77e42880ac7cca38986d4a11f3e0eaef6fa1969750b2512958055247b3328d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5cd83f3b219de30bab169af3f0ac2cd236212aee52faf067ef5d0a7d3b651e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-21T19:40:58Z",
    "title_canon_sha256": "3e2e79583a488485d1d748cbea7da326b09f47c4a0969d20fa538013948e29c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08102",
    "kind": "arxiv",
    "version": 1
  }
}