Pith Number

pith:4PMVEEGA

pith:2014:4PMVEEGAUOHPGIULPL3RSQWP5J

not attested not anchored not stored refs pending

Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities and spectral estimates

Jean Dolbeault (CEREMADE), Michal Kowalczyk (DIM)

arxiv:1412.2915 v3 · 2014-12-09 · 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{4PMVEEGAUOHPGIULPL3RSQWP5J}

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	2026-05-18T01:11:38.801096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d95210c0a38ef3228b7af71942cfea7c2190e9682a25da6c8868a0358d24e7

Aliases

arxiv: 1412.2915 · arxiv_version: 1412.2915v3 · doi: 10.48550/arxiv.1412.2915 · pith_short_12: 4PMVEEGAUOHP · pith_short_16: 4PMVEEGAUOHPGIUL · pith_short_8: 4PMVEEGA

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/4PMVEEGAUOHPGIULPL3RSQWP5J \
  | 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: e3d95210c0a38ef3228b7af71942cfea7c2190e9682a25da6c8868a0358d24e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ac5854873e56b1a7e02658bf0f019ef394ec420c406aaf0d65aedbf999019c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-09T11:10:28Z",
    "title_canon_sha256": "ef975cb52d457268ba9cd0c9cc6f32a09c2a9d788ae7798fadc186da38eba94b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2915",
    "kind": "arxiv",
    "version": 3
  }
}