Pith Number

pith:P4QGBWHE

pith:2010:P4QGBWHE2X2Y4NWMN37UIUXZYE

not attested not anchored not stored refs pending

Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls

Bo Li, Hongwei Lou

arxiv:1012.0989 v1 · 2010-12-05 · 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{P4QGBWHE2X2Y4NWMN37UIUXZYE}

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	2026-05-18T04:34:01.955430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2060d8e4d5f58e36cc6eff4452f9c13fe8912f9ca3b87eaae3365dd4423785

Aliases

arxiv: 1012.0989 · arxiv_version: 1012.0989v1 · doi: 10.48550/arxiv.1012.0989 · pith_short_12: P4QGBWHE2X2Y · pith_short_16: P4QGBWHE2X2Y4NWM · pith_short_8: P4QGBWHE

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/P4QGBWHE2X2Y4NWMN37UIUXZYE \
  | 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: 7f2060d8e4d5f58e36cc6eff4452f9c13fe8912f9ca3b87eaae3365dd4423785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c649ac65b4f352794506c4d74d6bbe640929d4ffd6baa042f8ef62e5c8e927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-12-05T11:29:32Z",
    "title_canon_sha256": "6d66677fe83bd7f392dedc21dd41fe626cf129df6abd4b14ae8a3d820ba7d08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0989",
    "kind": "arxiv",
    "version": 1
  }
}