Pith Number

pith:QZZDSKOD

pith:2011:QZZDSKOD5BI6KPYOP3GPVVB65G

not attested not anchored not stored refs pending

The rate of convergence of new Lax-Oleinik type operators for time-periodic positive definite Lagrangian systems

Jun Yan, Kaizhi Wang

arxiv:1109.3327 v1 · 2011-09-15 · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZZDSKOD5BI6KPYOP3GPVVB65G}

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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	2026-05-18T03:53:20.343885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86723929c3e851e53f0e7eccfad43ee98b8fe67e89e11045707d63539956be13

Aliases

arxiv: 1109.3327 · arxiv_version: 1109.3327v1 · doi: 10.48550/arxiv.1109.3327 · pith_short_12: QZZDSKOD5BI6 · pith_short_16: QZZDSKOD5BI6KPYO · pith_short_8: QZZDSKOD

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/QZZDSKOD5BI6KPYOP3GPVVB65G \
  | 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: 86723929c3e851e53f0e7eccfad43ee98b8fe67e89e11045707d63539956be13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1933f7d9396d6e881e7d4941750741066d267f7379755f114bb60d78824417",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-15T12:03:09Z",
    "title_canon_sha256": "9f8dd3583790edbbe982a151c367f37965276b05467897b1bcd86d093f17d2b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3327",
    "kind": "arxiv",
    "version": 1
  }
}