Pith Number

pith:ZUA5K7QY

pith:2017:ZUA5K7QY3K5JCWLGYZCMS5XQXP

not attested not anchored not stored refs pending

The Fredholm alternative for the $p$-Laplacian in exterior domains

Abhishek Sarkar, Ky Ho, Pavel Drabek

arxiv:1703.10388 v1 · 2017-03-30 · 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{ZUA5K7QY3K5JCWLGYZCMS5XQXP}

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	2026-05-18T00:47:37.143362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd01d57e18daba915966c644c976f0bbc8c5343656f171d10e280e29038faeac

Aliases

arxiv: 1703.10388 · arxiv_version: 1703.10388v1 · doi: 10.48550/arxiv.1703.10388 · pith_short_12: ZUA5K7QY3K5J · pith_short_16: ZUA5K7QY3K5JCWLG · pith_short_8: ZUA5K7QY

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/ZUA5K7QY3K5JCWLGYZCMS5XQXP \
  | 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: cd01d57e18daba915966c644c976f0bbc8c5343656f171d10e280e29038faeac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "437157a4f90767ef5cfc838ab8359edba4eb33dae1f70bb76e3cac49d16d9c06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-30T10:08:57Z",
    "title_canon_sha256": "36485856523936fd725ed3823306f87f5f015610291df997912f133da7c8ec82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10388",
    "kind": "arxiv",
    "version": 1
  }
}