Pith Number

pith:YW5QCJLX

pith:2010:YW5QCJLXV3KQ3CFMEO6UWHHNNP

not attested not anchored not stored refs pending

A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems

Jun Yan, Kaizhi Wang

arxiv:1011.2244 v2 · 2010-11-10 · 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{YW5QCJLXV3KQ3CFMEO6UWHHNNP}

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	2026-05-18T03:53:29.599265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5bb012577aed50d88ac23bd4b1ced6bc599c4c4e2343a578f13e05e5e489172

Aliases

arxiv: 1011.2244 · arxiv_version: 1011.2244v2 · doi: 10.48550/arxiv.1011.2244 · pith_short_12: YW5QCJLXV3KQ · pith_short_16: YW5QCJLXV3KQ3CFM · pith_short_8: YW5QCJLX

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/YW5QCJLXV3KQ3CFMEO6UWHHNNP \
  | 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: c5bb012577aed50d88ac23bd4b1ced6bc599c4c4e2343a578f13e05e5e489172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26be69788bb39e100da1da76b87ac3b60af49ee68419913ecfa25c1f3158751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-10T00:49:38Z",
    "title_canon_sha256": "cdb2321455780b71815d3d80c08df7b5b9c75487cdd5228698faf734b12a0ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2244",
    "kind": "arxiv",
    "version": 2
  }
}