Pith Number

pith:LQKCBSFZ

pith:2018:LQKCBSFZ5ZLZL4MTOWX355T34C

not attested not anchored not stored refs pending

Nonlinear scalar field equations with $L^2$ constraint: Mountain pass and symmetric mountain pass approaches

Jun Hirata, Kazunaga Tanaka

arxiv:1803.05139 v1 · 2018-03-14 · 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{LQKCBSFZ5ZLZL4MTOWX355T34C}

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	2026-05-18T00:21:01.982487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1420c8b9ee5795f19375afbef67be09dfb62b7b13ad0c5415b3f37e97b2d1b

Aliases

arxiv: 1803.05139 · arxiv_version: 1803.05139v1 · doi: 10.48550/arxiv.1803.05139 · pith_short_12: LQKCBSFZ5ZLZ · pith_short_16: LQKCBSFZ5ZLZL4MT · pith_short_8: LQKCBSFZ

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/LQKCBSFZ5ZLZL4MTOWX355T34C \
  | 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: 5c1420c8b9ee5795f19375afbef67be09dfb62b7b13ad0c5415b3f37e97b2d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18426a131030b1be1df829e11fce07a09bce66fbe45123d4cf3dc3a07cf184cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-14T05:29:28Z",
    "title_canon_sha256": "b97219e22ddc9d3d731408108d0c75c997d62bf8b35154a08494ba029adf42f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05139",
    "kind": "arxiv",
    "version": 1
  }
}