Pith Number

pith:WPE2ABER

pith:2014:WPE2ABER3SHZQIFJA56HWAT347

not attested not anchored not stored refs pending

Variations on Barbalat's Lemma

B\'alint Farkas, Sven-Ake Wegner

arxiv:1411.1611 v3 · 2014-11-06 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPE2ABER3SHZQIFJA56HWAT347}

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	2026-05-18T00:54:53.090691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c9a00491dc8f9820a9077c7b027be7d92bcaca443f5c2846b063b9585e920f

Aliases

arxiv: 1411.1611 · arxiv_version: 1411.1611v3 · doi: 10.48550/arxiv.1411.1611 · pith_short_12: WPE2ABER3SHZ · pith_short_16: WPE2ABER3SHZQIFJ · pith_short_8: WPE2ABER

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/WPE2ABER3SHZQIFJA56HWAT347 \
  | 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: b3c9a00491dc8f9820a9077c7b027be7d92bcaca443f5c2846b063b9585e920f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e52d979f5d2d1289e0c935b28049dfcd04919c0f5a96b9c64fe11df4154dd22",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-11-06T13:45:10Z",
    "title_canon_sha256": "cdf4d7589d0457af5f0c7e9bfed90a03c6cb5ebdcdfa88d86dac97ede9feaf45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1611",
    "kind": "arxiv",
    "version": 3
  }
}