Pith Number

pith:57J7FGIL

pith:2015:57J7FGILTTMQOACFI6QVJJJTGH

not attested not anchored not stored refs pending

Three-region inequalities for the second order elliptic equation with discontinuous coefficients and size estimate

C.-L. Lin, E. Francini, J.-N. Wang, S. Vessella

arxiv:1509.06001 v1 · 2015-09-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57J7FGILTTMQOACFI6QVJJJTGH}

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	2026-05-18T01:32:36.121272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd3f2990b9cd907004547a154a53331d605defc8a586266b250d0d76ce86960

Aliases

arxiv: 1509.06001 · arxiv_version: 1509.06001v1 · doi: 10.48550/arxiv.1509.06001 · pith_short_12: 57J7FGILTTMQ · pith_short_16: 57J7FGILTTMQOACF · pith_short_8: 57J7FGIL

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/57J7FGILTTMQOACFI6QVJJJTGH \
  | 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: efd3f2990b9cd907004547a154a53331d605defc8a586266b250d0d76ce86960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53368e67478264220a1648fe647291a2dc77f74ce37f0988fe60d8bdcc6866d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-20T12:08:23Z",
    "title_canon_sha256": "9d3eb94709412f99841d119244eb57a3c65c4430edd47c2abf5692639920c69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06001",
    "kind": "arxiv",
    "version": 1
  }
}