Pith Number

pith:VAZHUIJ2

pith:2016:VAZHUIJ2VRWV2PXN7KJ53ALQY6

not attested not anchored not stored refs pending

Ground state solutions for fractional scalar field equations under a general critical nonlinearity

Claudianor O. Alves, Gaetano Siciliano, Giovany M. Figueiredo

arxiv:1610.04649 v1 · 2016-10-14 · 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{VAZHUIJ2VRWV2PXN7KJ53ALQY6}

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	2026-05-18T01:02:11.931732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8327a213aac6d5d3eedfa93dd8170c7a6fc98fbf1509f9eac693981a7da4b96

Aliases

arxiv: 1610.04649 · arxiv_version: 1610.04649v1 · doi: 10.48550/arxiv.1610.04649 · pith_short_12: VAZHUIJ2VRWV · pith_short_16: VAZHUIJ2VRWV2PXN · pith_short_8: VAZHUIJ2

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/VAZHUIJ2VRWV2PXN7KJ53ALQY6 \
  | 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: a8327a213aac6d5d3eedfa93dd8170c7a6fc98fbf1509f9eac693981a7da4b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a28bf563d35cfe733c27380b83d670f7af255c2a2cc62f0156e010fae2fb2a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-14T21:34:07Z",
    "title_canon_sha256": "2e07d1215c456388112ef4280a1a4e277594f5cd282d46ac5adc58fce0b7dc4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04649",
    "kind": "arxiv",
    "version": 1
  }
}