Pith Number

pith:TDCYVCX5

pith:2016:TDCYVCX5VMFJ4MDAFFVDN6BQT6

not attested not anchored not stored refs pending

Multiplicity of strong solutions for a class of elliptic problems without the Ambrosetti-Rabinowitz condition in $\mathbb{R}^{N}$

Chunshan Zhao, Jinghua Yao, Li Yin, Qihu Zhang

arxiv:1607.00581 v1 · 2016-07-03 · 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{TDCYVCX5VMFJ4MDAFFVDN6BQT6}

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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	2026-05-18T01:11:34.694810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c58a8afdab0a9e3060296a36f8309f923d4b3e9ae19ad83dea21316d2260b6

Aliases

arxiv: 1607.00581 · arxiv_version: 1607.00581v1 · doi: 10.48550/arxiv.1607.00581 · pith_short_12: TDCYVCX5VMFJ · pith_short_16: TDCYVCX5VMFJ4MDA · pith_short_8: TDCYVCX5

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/TDCYVCX5VMFJ4MDAFFVDN6BQT6 \
  | 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: 98c58a8afdab0a9e3060296a36f8309f923d4b3e9ae19ad83dea21316d2260b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0287c012f004a9b578d8e55cfaf9b25036bb53988ad0ed807713f6133739b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-03T02:41:08Z",
    "title_canon_sha256": "6c9082466278be813915d17f83186bfc5ed58a28068602ab0d4963c90f5ee919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00581",
    "kind": "arxiv",
    "version": 1
  }
}