Pith Number

pith:OI5OH3MO

pith:2015:OI5OH3MOFXPYWGDA467CLGYYJC

not attested not anchored not stored refs pending

Multiplicity results in the non-coercive case for an elliptic problem with critical growth in the gradient

Colette De Coster, Louis Jeanjean

arxiv:1507.04880 v2 · 2015-07-17 · 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{OI5OH3MOFXPYWGDA467CLGYYJC}

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	2026-05-18T01:32:36.878808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723ae3ed8e2ddf8b1860e7be259b184897ea6edfa0e6f8697e9aec38d48bf993

Aliases

arxiv: 1507.04880 · arxiv_version: 1507.04880v2 · doi: 10.48550/arxiv.1507.04880 · pith_short_12: OI5OH3MOFXPY · pith_short_16: OI5OH3MOFXPYWGDA · pith_short_8: OI5OH3MO

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/OI5OH3MOFXPYWGDA467CLGYYJC \
  | 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: 723ae3ed8e2ddf8b1860e7be259b184897ea6edfa0e6f8697e9aec38d48bf993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df90e3b8d6fc8db88d7e3069191f7ece0af3f4e256f360d112cbbca853fba8a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-17T08:48:47Z",
    "title_canon_sha256": "e0091b20e8ec0480c6c5f0129f96665cd43448757c2cfd0367f799387d76da5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04880",
    "kind": "arxiv",
    "version": 2
  }
}