Pith Number

pith:Z73QNRVS

pith:2014:Z73QNRVS4MPYQIW2TG2SN5EPHP

not attested not anchored not stored refs pending

On a class fractional Schr\"odinger equations with indefinite potential involving critical exponential growth

Manass\'es de Souza, Yane Lisley Ara\'ujo

arxiv:1411.4961 v1 · 2014-11-18 · 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{Z73QNRVS4MPYQIW2TG2SN5EPHP}

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	2026-05-18T02:34:46.385420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff706c6b2e31f8822da99b526f48f3bd792f40da6613207b3c16b8a23f06d5d

Aliases

arxiv: 1411.4961 · arxiv_version: 1411.4961v1 · doi: 10.48550/arxiv.1411.4961 · pith_short_12: Z73QNRVS4MPY · pith_short_16: Z73QNRVS4MPYQIW2 · pith_short_8: Z73QNRVS

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/Z73QNRVS4MPYQIW2TG2SN5EPHP \
  | 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: cff706c6b2e31f8822da99b526f48f3bd792f40da6613207b3c16b8a23f06d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbcf94dae3af7ef29c6e0644e74ffd6b1b31acce50ed1255ad1473345db0f22f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-18T18:55:03Z",
    "title_canon_sha256": "809947de46f7997b36902ef2375b4c93c66b1fc294b67b8f3923ca387094dea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4961",
    "kind": "arxiv",
    "version": 1
  }
}