Pith Number

pith:PK6VWM3K

pith:2012:PK6VWM3KZ3TMSNHTJBZZLTWQLR

not attested not anchored not stored refs pending

Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains

Jean Van Schaftingen, Vitaly Moroz

arxiv:1203.3154 v1 · 2012-03-14 · 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{PK6VWM3KZ3TMSNHTJBZZLTWQLR}

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	2026-05-18T03:27:32.952251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7abd5b336acee6c934f3487395ced05c5a264e639d20a51d39fd126cc03358ce

Aliases

arxiv: 1203.3154 · arxiv_version: 1203.3154v1 · doi: 10.48550/arxiv.1203.3154 · pith_short_12: PK6VWM3KZ3TM · pith_short_16: PK6VWM3KZ3TMSNHT · pith_short_8: PK6VWM3K

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/PK6VWM3KZ3TMSNHTJBZZLTWQLR \
  | 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: 7abd5b336acee6c934f3487395ced05c5a264e639d20a51d39fd126cc03358ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a49ca865b222ca4603ac4c0a083a9dfa54a19eacc11d94489f7f94a926e30e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-14T17:44:36Z",
    "title_canon_sha256": "b79e40206f1743e3d7dd5e93c05dce13003334d6f3077807c26fb02634f0e825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3154",
    "kind": "arxiv",
    "version": 1
  }
}