Pith Number

pith:G4SRUEKS

pith:2016:G4SRUEKS6T7Q5CTSDMDJYQ7RSM

not attested not anchored not stored refs pending

Nonlocal Schr\"odinger-Kirchhoff equations with external magnetic field

Binlin Zhang, Marco Squassina, Patrizia Pucci, Xiang Mingqi

arxiv:1605.05689 v1 · 2016-05-18 · 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{G4SRUEKS6T7Q5CTSDMDJYQ7RSM}

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	2026-05-18T01:14:29.987583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37251a1152f4ff0e8a721b069c43f1930f6852220d5fddba50097bd1c6bf799c

Aliases

arxiv: 1605.05689 · arxiv_version: 1605.05689v1 · doi: 10.48550/arxiv.1605.05689 · pith_short_12: G4SRUEKS6T7Q · pith_short_16: G4SRUEKS6T7Q5CTS · pith_short_8: G4SRUEKS

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/G4SRUEKS6T7Q5CTSDMDJYQ7RSM \
  | 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: 37251a1152f4ff0e8a721b069c43f1930f6852220d5fddba50097bd1c6bf799c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b25d4e705fb19b1874cdf3586096c3219ec373b1d6a40d85a205915cffbe61f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-18T18:26:45Z",
    "title_canon_sha256": "47f115b16fac6314c253d1ed8fcdc88b1fb14539c16a20fe4bfea8d53a2e224b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05689",
    "kind": "arxiv",
    "version": 1
  }
}