Pith Number

pith:3WYEIXQO

pith:2014:3WYEIXQO62SLBAOBYXFIJP3SWG

not attested not anchored not stored refs pending

A priori estimates and bifurcation of solutions for a noncoercive elliptic equation with critical growth in the gradient

Philippe Souplet

arxiv:1411.0884 v1 · 2014-11-04 · 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{3WYEIXQO62SLBAOBYXFIJP3SWG}

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	2026-05-18T01:17:37.773363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb0445e0ef6a4b081c1c5ca84bf72b1906b39bcc8be5c149dbd15d3b586deb7

Aliases

arxiv: 1411.0884 · arxiv_version: 1411.0884v1 · doi: 10.48550/arxiv.1411.0884 · pith_short_12: 3WYEIXQO62SL · pith_short_16: 3WYEIXQO62SLBAOB · pith_short_8: 3WYEIXQO

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/3WYEIXQO62SLBAOBYXFIJP3SWG \
  | 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: ddb0445e0ef6a4b081c1c5ca84bf72b1906b39bcc8be5c149dbd15d3b586deb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34fc0b7acf5fbd5604743003ed655a951f581880e3ad690ce82ad5be2cf25b08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-04T12:36:38Z",
    "title_canon_sha256": "024020b55f2b96df78c2fdab3da2e99c2f2d0276223b0c90c89f214fa14118d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0884",
    "kind": "arxiv",
    "version": 1
  }
}