Pith Number

pith:532NXSBB

pith:2012:532NXSBBXZY5XG2SF3TNDLGQAF

not attested not anchored not stored refs pending

Converse Lyapunov-Krasovskii Theorems for Systems Described by Neutral Functional Differential Equation in Hale's Form

Iasson Karafyllis, Pierdomenico Pepe

arxiv:1206.3504 v1 · 2012-06-15 · 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{532NXSBBXZY5XG2SF3TNDLGQAF}

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	2026-05-18T03:53:30.084441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef4dbc821be71db9b522ee6d1acd001453e492faea090fffe417e94ff80cf16

Aliases

arxiv: 1206.3504 · arxiv_version: 1206.3504v1 · doi: 10.48550/arxiv.1206.3504 · pith_short_12: 532NXSBBXZY5 · pith_short_16: 532NXSBBXZY5XG2S · pith_short_8: 532NXSBB

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/532NXSBBXZY5XG2SF3TNDLGQAF \
  | 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: eef4dbc821be71db9b522ee6d1acd001453e492faea090fffe417e94ff80cf16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783b5b6eb5601ddae064b6b8b3c44132e9afc8473f1abaa7817b9ced2ec9d031",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-15T16:03:36Z",
    "title_canon_sha256": "6a205118be553b2eadc02ed01c9bad1b53d662333f507b1ad7e636982b933c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3504",
    "kind": "arxiv",
    "version": 1
  }
}