Pith Number

pith:6ZTVNLGT

pith:2018:6ZTVNLGTETSR6KWAVCHFVZW4ES

not attested not anchored not stored refs pending

A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient

Antonio J. Fern\'andez, Colette De Coster, Louis Jeanjean

arxiv:1803.02658 v2 · 2018-03-07 · 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{6ZTVNLGTETSR6KWAVCHFVZW4ES}

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	2026-05-18T00:01:49.019121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f66756acd324e51f2ac0a88e5ae6dc24b24f70233d9a5c0814dd16ec3232b2be

Aliases

arxiv: 1803.02658 · arxiv_version: 1803.02658v2 · doi: 10.48550/arxiv.1803.02658 · pith_short_12: 6ZTVNLGTETSR · pith_short_16: 6ZTVNLGTETSR6KWA · pith_short_8: 6ZTVNLGT

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/6ZTVNLGTETSR6KWAVCHFVZW4ES \
  | 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: f66756acd324e51f2ac0a88e5ae6dc24b24f70233d9a5c0814dd16ec3232b2be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c91c37ebe8899ba9bd493a999f9ee3493f977ca89709631343e1506c98cf7723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-07T14:06:44Z",
    "title_canon_sha256": "1604bac9f07787ceac4114a6dfb4ab823d16fa71bf93467a6b8151c5ebc08bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02658",
    "kind": "arxiv",
    "version": 2
  }
}