Pith Number

pith:72DTNF4A

pith:2017:72DTNF4ABODNZ5HHSU376H5DVL

not attested not anchored not stored refs pending

Coupled elliptic systems involving the square root of the Laplacian and Trudinger-Moser critical growth

Jo\~ao Marcos do \'O, Jos\'e Carlos de Albuquerque

arxiv:1708.00457 v1 · 2017-08-01 · 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{72DTNF4ABODNZ5HHSU376H5DVL}

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	2026-05-18T00:38:47.118804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe873697800b86dcf4e79537ff1fa3aacab7d00dff9737b329b91b2d51686e80

Aliases

arxiv: 1708.00457 · arxiv_version: 1708.00457v1 · doi: 10.48550/arxiv.1708.00457 · pith_short_12: 72DTNF4ABODN · pith_short_16: 72DTNF4ABODNZ5HH · pith_short_8: 72DTNF4A

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/72DTNF4ABODNZ5HHSU376H5DVL \
  | 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: fe873697800b86dcf4e79537ff1fa3aacab7d00dff9737b329b91b2d51686e80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f8abeb60eff675b5eac90f050bafb3b0c0b09165676b9afd06ebd0b135408d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-01T18:02:01Z",
    "title_canon_sha256": "9a244e25b8d348ffb227816dbbd27efafc17fe1bfaa79361415db40d7ec6c04b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00457",
    "kind": "arxiv",
    "version": 1
  }
}