Pith Number

pith:UBQRYXFD

pith:2012:UBQRYXFDKX65BJCPUNNL6GQCC7

not attested not anchored not stored refs pending

High Energy Solutions to $p(x)-$Laplacian Equations of Schr\"{o}dinger type

Duchao Liu, Jinghua Yao, Xiaoyan Wang

arxiv:1210.5308 v1 · 2012-10-19 · 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{UBQRYXFDKX65BJCPUNNL6GQCC7}

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	2026-05-18T03:42:45.578170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0611c5ca355fdd0a44fa35abf1a0217f6e254d8cb341b09a546facabc07a217

Aliases

arxiv: 1210.5308 · arxiv_version: 1210.5308v1 · doi: 10.48550/arxiv.1210.5308 · pith_short_12: UBQRYXFDKX65 · pith_short_16: UBQRYXFDKX65BJCP · pith_short_8: UBQRYXFD

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/UBQRYXFDKX65BJCPUNNL6GQCC7 \
  | 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: a0611c5ca355fdd0a44fa35abf1a0217f6e254d8cb341b09a546facabc07a217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53cca96a76c172eef7691c9109dc15068036038b21e3db0ecab3e724d0a60cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-19T03:50:07Z",
    "title_canon_sha256": "c59023317bc45fedf824a2d364a4357736c17ada64dcfbbaae3adfcf4d09fc1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5308",
    "kind": "arxiv",
    "version": 1
  }
}