Pith Number

pith:3ITSPRBG

pith:2011:3ITSPRBGEDI4WWXACDO4WZ3ZPW

not attested not anchored not stored refs pending

Coordinate-invariant incremental Lyapunov functions

Majid Zamani, Rupak Majumdar

arxiv:1107.2681 v3 · 2011-07-13 · math.OC · cs.SY · 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{3ITSPRBGEDI4WWXACDO4WZ3ZPW}

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	2026-05-18T01:19:00.713710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2727c42620d1cb5ae010ddcb67797db487a560b9179339e4c3e1231ef6c722

Aliases

arxiv: 1107.2681 · arxiv_version: 1107.2681v3 · doi: 10.48550/arxiv.1107.2681 · pith_short_12: 3ITSPRBGEDI4 · pith_short_16: 3ITSPRBGEDI4WWXA · pith_short_8: 3ITSPRBG

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/3ITSPRBGEDI4WWXACDO4WZ3ZPW \
  | 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: da2727c42620d1cb5ae010ddcb67797db487a560b9179339e4c3e1231ef6c722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07fc70fe0dd1272aa67e7e3f7a57a39ab63e780aad6bdb31d6f4a45469c0fc7c",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-13T21:48:31Z",
    "title_canon_sha256": "6d5f26b7a55c22ea5f068e7081c711f3c545bd9984ac713e0d6f0c0a2c9f18e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2681",
    "kind": "arxiv",
    "version": 3
  }
}