Pith Number

pith:DSDWBSBN

pith:2012:DSDWBSBNDC4GTDQGCYPDFDPUPN

not attested not anchored not stored refs pending

Evaluation of the Lyapunov exponent for generalized linear second-order exponential systems

Nikolai Krivulin

arxiv:1212.6079 v1 · 2012-12-25 · math.OC · cs.SY · 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{DSDWBSBNDC4GTDQGCYPDFDPUPN}

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	2026-05-18T03:37:42.859705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c8760c82d18b8698e06161e328df47b66375e9d84ee1b3edd8a6d3047314e31

Aliases

arxiv: 1212.6079 · arxiv_version: 1212.6079v1 · doi: 10.48550/arxiv.1212.6079 · pith_short_12: DSDWBSBNDC4G · pith_short_16: DSDWBSBNDC4GTDQG · pith_short_8: DSDWBSBN

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/DSDWBSBNDC4GTDQGCYPDFDPUPN \
  | 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: 1c8760c82d18b8698e06161e328df47b66375e9d84ee1b3edd8a6d3047314e31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bddfcecce5ee06a6b9f6b3f1667afcb823f3fd2bc7ffc74989fb2820d96c36b5",
    "cross_cats_sorted": [
      "cs.SY",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-25T19:56:05Z",
    "title_canon_sha256": "edd1cd0b22838a7c4174f2558f26117485941a1d8444316d82ddf538d9562974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6079",
    "kind": "arxiv",
    "version": 1
  }
}