Pith Number

pith:5UGII2YT

pith:2012:5UGII2YTPIRBQFUKX5TMQUXHDZ

not attested not anchored not stored refs pending

Multiple solutions for a nonhomogeneous Schr\"odinger-Maxwell system in $R^3$

Huan-Song Zhou, Yongsheng Jiang, Zhengping Wang

arxiv:1204.3359 v2 · 2012-04-16 · 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{5UGII2YTPIRBQFUKX5TMQUXHDZ}

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	2026-05-18T02:51:50.339324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0c846b137a2218168abf66c852e71e62c36aab203f8f88483958dc69960cf9

Aliases

arxiv: 1204.3359 · arxiv_version: 1204.3359v2 · doi: 10.48550/arxiv.1204.3359 · pith_short_12: 5UGII2YTPIRB · pith_short_16: 5UGII2YTPIRBQFUK · pith_short_8: 5UGII2YT

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/5UGII2YTPIRBQFUKX5TMQUXHDZ \
  | 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: ed0c846b137a2218168abf66c852e71e62c36aab203f8f88483958dc69960cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d630e3679cd4f51aff6899dd4e2b9518f50975491daed1711b76612deb14010e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-16T04:30:02Z",
    "title_canon_sha256": "c21c4fa1fe71d32ee5914031ca98371969f93ace0572d9bea0cd0f8a6f5012b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3359",
    "kind": "arxiv",
    "version": 2
  }
}