Pith Number

pith:JHP4FN5W

pith:2016:JHP4FN5WDYC6QQFMDYKPHABZLY

not attested not anchored not stored refs pending

Fractional Kirchhoff problem with critical indefinite nonlinearity

J. M. do \'O, P. K. Mishra, X. He

arxiv:1607.01200 v2 · 2016-07-05 · 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{JHP4FN5WDYC6QQFMDYKPHABZLY}

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	2026-05-18T00:27:36.669748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49dfc2b7b61e05e840ac1e14f380395e346ed78cf38bc8f6508a0ba1094a4f9a

Aliases

arxiv: 1607.01200 · arxiv_version: 1607.01200v2 · doi: 10.48550/arxiv.1607.01200 · pith_short_12: JHP4FN5WDYC6 · pith_short_16: JHP4FN5WDYC6QQFM · pith_short_8: JHP4FN5W

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/JHP4FN5WDYC6QQFMDYKPHABZLY \
  | 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: 49dfc2b7b61e05e840ac1e14f380395e346ed78cf38bc8f6508a0ba1094a4f9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00815080e0de868983d4bc2fd6af688b61a59dffadf7cc8b6a6eefe93f72ad1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-05T11:49:23Z",
    "title_canon_sha256": "a8413511e1345e44e8b6d50937113d5dfcba717659fc9bc91362c50159339805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01200",
    "kind": "arxiv",
    "version": 2
  }
}