Pith Number

pith:LHPLLYDB

pith:2013:LHPLLYDBBX6BBF7PB7NLE6TNH5

not attested not anchored not stored refs pending

On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

Alessandro Portaluri, Nils Waterstraat

arxiv:1305.3078 v1 · 2013-05-14 · math.AP · math.DG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHPLLYDBBX6BBF7PB7NLE6TNH5}

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	2026-05-18T02:53:17.565492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59deb5e0610dfc1097ef0fdab27a6d3f5ec0c79c7c84cd64188acc42ce9129ea

Aliases

arxiv: 1305.3078 · arxiv_version: 1305.3078v1 · doi: 10.48550/arxiv.1305.3078 · pith_short_12: LHPLLYDBBX6B · pith_short_16: LHPLLYDBBX6BBF7P · pith_short_8: LHPLLYDB

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/LHPLLYDBBX6BBF7PB7NLE6TNH5 \
  | 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: 59deb5e0610dfc1097ef0fdab27a6d3f5ec0c79c7c84cd64188acc42ce9129ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aedc3a2889fb69bd4f475671f54d1f0cea7cccc9a4bf3373c9e4e669ef3f1cd",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-14T09:39:47Z",
    "title_canon_sha256": "220d2849ed93361ee9a792df5304155d7525338ff578f61d2015e33d24bb8961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3078",
    "kind": "arxiv",
    "version": 1
  }
}