Pith Number

pith:ZTIGPZBI

pith:2015:ZTIGPZBITPCGUZDU4ZIHJW4MEH

not attested not anchored not stored refs pending

On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds

Catherine Bandle, Dario D. Monticelli, Fabio Punzo, Paolo Mastrolia

arxiv:1507.06876 v1 · 2015-07-24 · 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{ZTIGPZBITPCGUZDU4ZIHJW4MEH}

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	2026-05-18T01:36:21.794053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd067e4289bc46a6474e65074db8c21ef2a9d3597e345d4ec415ea53e2f5412

Aliases

arxiv: 1507.06876 · arxiv_version: 1507.06876v1 · doi: 10.48550/arxiv.1507.06876 · pith_short_12: ZTIGPZBITPCG · pith_short_16: ZTIGPZBITPCGUZDU · pith_short_8: ZTIGPZBI

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/ZTIGPZBITPCGUZDU4ZIHJW4MEH \
  | 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: ccd067e4289bc46a6474e65074db8c21ef2a9d3597e345d4ec415ea53e2f5412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e91d2db27e355a9ccf4c20a2e06eabcbcf40550a594a645f64b5bea5925050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-24T15:14:24Z",
    "title_canon_sha256": "f5793c086824bcef006ceb22b40497e533d6045560c58d009f2de843ad460278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06876",
    "kind": "arxiv",
    "version": 1
  }
}