Pith Number

pith:S3CBG3UK

pith:2014:S3CBG3UKLL5BM4IUGSKO4G6TDW

not attested not anchored not stored refs pending

Necessary condition on Lyapunov functions corresponding to the globally asymptotically stable equilibrium point

Chirayu D. Athalye, Debasattam Pal, Harish K. Pillai

arxiv:1405.0747 v2 · 2014-05-04 · 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{S3CBG3UKLL5BM4IUGSKO4G6TDW}

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	2026-05-18T02:50:58.443606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96c4136e8a5afa1671143494ee1bd31da57effb5fb6bfd1c805b0f83333c8009

Aliases

arxiv: 1405.0747 · arxiv_version: 1405.0747v2 · doi: 10.48550/arxiv.1405.0747 · pith_short_12: S3CBG3UKLL5B · pith_short_16: S3CBG3UKLL5BM4IU · pith_short_8: S3CBG3UK

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/S3CBG3UKLL5BM4IUGSKO4G6TDW \
  | 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: 96c4136e8a5afa1671143494ee1bd31da57effb5fb6bfd1c805b0f83333c8009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e21c03f4e93853d66179ac323d10baab44182756fae56508a47f5cc4a576d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-04T21:41:47Z",
    "title_canon_sha256": "9fa71c55bfb69456f5defe49b10e6ece7a9a01012bab56926e8651a645d7b7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0747",
    "kind": "arxiv",
    "version": 2
  }
}