Pith Number

pith:EN7BAVM4

pith:2014:EN7BAVM4FKTBFIGO3LRFTGV6HA

not attested not anchored not stored refs pending

Conditions for Equality between Lyapunov and Morse Decompositions

Luciana A. Alves, Luiz A. B. San Martin

arxiv:1405.6565 v1 · 2014-05-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EN7BAVM4FKTBFIGO3LRFTGV6HA}

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	2026-05-17T23:53:14.378786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

237e10559c2aa612a0cedae2599abe381c1cb18b4b01d15a63066e78c52618e4

Aliases

arxiv: 1405.6565 · arxiv_version: 1405.6565v1 · doi: 10.48550/arxiv.1405.6565 · pith_short_12: EN7BAVM4FKTB · pith_short_16: EN7BAVM4FKTBFIGO · pith_short_8: EN7BAVM4

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/EN7BAVM4FKTBFIGO3LRFTGV6HA \
  | 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: 237e10559c2aa612a0cedae2599abe381c1cb18b4b01d15a63066e78c52618e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecf2052da4e21fa287a84840b029275fe95451f29e4f9624ac0b3ccec6e0e54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-26T13:15:31Z",
    "title_canon_sha256": "21cdcf9f8596042d182ca0ecdddd4f7efbf282b349c5e9a94305dc838979ab06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6565",
    "kind": "arxiv",
    "version": 1
  }
}