Pith Number

pith:EX5PELRE

pith:2016:EX5PELRE7LO3UZYQ6ANLLCGV3C

not attested not anchored not stored refs pending

Exponential state estimation, entropy and Lyapunov exponents

Christoph Kawan

arxiv:1605.03210 v3 · 2016-05-10 · 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{EX5PELRE7LO3UZYQ6ANLLCGV3C}

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	2026-05-18T00:45:01.684898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25faf22e24faddba6710f01ab588d5d89756001119d1f84bb7860fb567d24374

Aliases

arxiv: 1605.03210 · arxiv_version: 1605.03210v3 · doi: 10.48550/arxiv.1605.03210 · pith_short_12: EX5PELRE7LO3 · pith_short_16: EX5PELRE7LO3UZYQ · pith_short_8: EX5PELRE

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/EX5PELRE7LO3UZYQ6ANLLCGV3C \
  | 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: 25faf22e24faddba6710f01ab588d5d89756001119d1f84bb7860fb567d24374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27a9372fa3018ed8d5d12d4886d094350f46ca6242fa45fea39e7fe96c0d1702",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-10T20:54:40Z",
    "title_canon_sha256": "a72201ed0e162eae7fe188a6af310377d1aaa4c3742f843033831901baa493f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03210",
    "kind": "arxiv",
    "version": 3
  }
}