Pith Number

pith:5EAOGUPF

pith:2018:5EAOGUPF5KR5JPOI44JT4SKBED

not attested not anchored not stored refs pending

Controllability implies mixing I. Convergence in the total variation metric

Armen Shirikyan

arxiv:1803.01892 v1 · 2018-03-05 · math.CA · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EAOGUPF5KR5JPOI44JT4SKBED}

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	2026-05-18T00:21:56.391671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e900e351e5eaa3d4bdc8e7133e494120e84c9890b37b7201ddab62058124ca64

Aliases

arxiv: 1803.01892 · arxiv_version: 1803.01892v1 · doi: 10.48550/arxiv.1803.01892 · pith_short_12: 5EAOGUPF5KR5 · pith_short_16: 5EAOGUPF5KR5JPOI · pith_short_8: 5EAOGUPF

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/5EAOGUPF5KR5JPOI44JT4SKBED \
  | 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: e900e351e5eaa3d4bdc8e7133e494120e84c9890b37b7201ddab62058124ca64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b8e03be36cf1c9903f63e6946bc28430712aafa0d553f7c75e8b6e3643c08fc",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-05T19:26:54Z",
    "title_canon_sha256": "df07b32c8a4a00df8f65ab379065e78fa76fd41c8a31e528567082fb4ebfa956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01892",
    "kind": "arxiv",
    "version": 1
  }
}