Pith Number

pith:UEKDFEKX

pith:2016:UEKDFEKXQMRKIJQJ5W26ODX2I5

not attested not anchored not stored refs pending

Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions

Christopher Grumiau, Christophe Troestler, Denis Bonheure

arxiv:1603.05610 v1 · 2016-03-17 · 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{UEKDFEKXQMRKIJQJ5W26ODX2I5}

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	2026-05-18T01:18:56.013032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1143291578322a42609edb5e70efa4757331f490d37f984f7649ac2c81ace03

Aliases

arxiv: 1603.05610 · arxiv_version: 1603.05610v1 · doi: 10.48550/arxiv.1603.05610 · pith_short_12: UEKDFEKXQMRK · pith_short_16: UEKDFEKXQMRKIJQJ · pith_short_8: UEKDFEKX

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/UEKDFEKXQMRKIJQJ5W26ODX2I5 \
  | 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: a1143291578322a42609edb5e70efa4757331f490d37f984f7649ac2c81ace03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0993d39f3c24070c2ff6a289804218568022b4935e42ac9031431fa33b6e1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-17T18:52:36Z",
    "title_canon_sha256": "e8ec195591d1ae21bad4712c87fb1ccc5aaf1f87d800a8a54e3448d6721e5e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05610",
    "kind": "arxiv",
    "version": 1
  }
}