Pith Number

pith:E6QW3ZTR

pith:2018:E6QW3ZTRK6YZHRLFHIITICNCQX

not attested not anchored not stored refs pending

How to break the uniqueness of $W^{1,p}_{loc}(\Omega)$-solutions for very singular elliptic problems by non-local terms

Carlos Alberto Santos, Lais Moreira dos Santos

arxiv:1805.10542 v1 · 2018-05-26 · 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{E6QW3ZTRK6YZHRLFHIITICNCQX}

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	2026-05-18T00:00:55.583796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a16de67157b193c5653a113409a285d5ce217b358d7329561eb97d7cfb9108

Aliases

arxiv: 1805.10542 · arxiv_version: 1805.10542v1 · doi: 10.48550/arxiv.1805.10542 · pith_short_12: E6QW3ZTRK6YZ · pith_short_16: E6QW3ZTRK6YZHRLF · pith_short_8: E6QW3ZTR

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/E6QW3ZTRK6YZHRLFHIITICNCQX \
  | 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: 27a16de67157b193c5653a113409a285d5ce217b358d7329561eb97d7cfb9108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434bf960b23a6ffd8b21769e1905ba2087ed929414501ac601c88b1230d43b4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-26T21:32:07Z",
    "title_canon_sha256": "d860e7e63e3524704f8fba68e59a49cb94a1448daa7c1cbd7e47cb92ae262bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10542",
    "kind": "arxiv",
    "version": 1
  }
}