Pith Number

pith:IX62HGC7

pith:2016:IX62HGC72OLWCXLPYA3R2EI44C

not attested not anchored not stored refs pending

Optimal mixing enhancement

Gary Froyland, Naratip Santitissadeekorn

arxiv:1610.01651 v2 · 2016-10-04 · physics.flu-dyn · 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{IX62HGC72OLWCXLPYA3R2EI44C}

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	2026-05-18T00:25:02.174263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45fda3985fd397615d6fc0371d111ce0bf274118f335fe0ee318ea42b094ef8b

Aliases

arxiv: 1610.01651 · arxiv_version: 1610.01651v2 · doi: 10.48550/arxiv.1610.01651 · pith_short_12: IX62HGC72OLW · pith_short_16: IX62HGC72OLWCXLP · pith_short_8: IX62HGC7

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/IX62HGC72OLWCXLPYA3R2EI44C \
  | 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: 45fda3985fd397615d6fc0371d111ce0bf274118f335fe0ee318ea42b094ef8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a785ea7a48da3e9839f7eda9808b901af8fefae07557ffec6b47fd1112e6a84",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-10-04T18:59:14Z",
    "title_canon_sha256": "9c8895277f4e1d3e08ce72c74e093744cf091390254c5a9bcd3b02810d706ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01651",
    "kind": "arxiv",
    "version": 2
  }
}