Pith Number

pith:EX2GNAHU

pith:2018:EX2GNAHU3URX3ZQM4D5OXNBF7H

not attested not anchored not stored refs pending

Controllability implies mixing II. Convergence in the dual-Lipschitz metric

Armen Shirikyan

arxiv:1803.01893 v1 · 2018-03-05 · math.AP · 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{EX2GNAHU3URX3ZQM4D5OXNBF7H}

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	2026-05-18T00:21:56.382234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f46680f4dd237de60ce0faebb425f9d142d2414833975b4e72708dd16a0b1a

Aliases

arxiv: 1803.01893 · arxiv_version: 1803.01893v1 · doi: 10.48550/arxiv.1803.01893 · pith_short_12: EX2GNAHU3URX · pith_short_16: EX2GNAHU3URX3ZQM · pith_short_8: EX2GNAHU

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/EX2GNAHU3URX3ZQM4D5OXNBF7H \
  | 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: 25f46680f4dd237de60ce0faebb425f9d142d2414833975b4e72708dd16a0b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93af035364e67880da8cd4a9c2abe35aa05968187b0b5d4b54031e9b0be8223",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-05T19:27:01Z",
    "title_canon_sha256": "8cd159f803d65096cf497f81e62905a307d5583dbcbd4b768310dfce11defaf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01893",
    "kind": "arxiv",
    "version": 1
  }
}