Pith Number

pith:LO5GODIO

pith:2011:LO5GODIO2HDPBYXLALDYGDU5VB

not attested not anchored not stored refs pending

Existence of Solutions for the Debye-H\"{u}ckel System with Low Regularity Initial Data

Jihong Zhao, Qiao Liu, Shangbin Cui

arxiv:1105.3844 v1 · 2011-05-19 · 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{LO5GODIO2HDPBYXLALDYGDU5VB}

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	2026-05-18T04:21:51.208964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bba670d0ed1c6f0e2eb02c7830e9da85f7e4752cf37181ac588f1aa6d204b98

Aliases

arxiv: 1105.3844 · arxiv_version: 1105.3844v1 · doi: 10.48550/arxiv.1105.3844 · pith_short_12: LO5GODIO2HDP · pith_short_16: LO5GODIO2HDPBYXL · pith_short_8: LO5GODIO

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/LO5GODIO2HDPBYXLALDYGDU5VB \
  | 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: 5bba670d0ed1c6f0e2eb02c7830e9da85f7e4752cf37181ac588f1aa6d204b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5409538db1dc27f4cc9a7f14235540081963914616e88a4811a5eb24145ed33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-19T11:33:14Z",
    "title_canon_sha256": "2dd02c9847df42086448e2817f18390c3b85a933d6e53ad27d1b77ad796af35d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3844",
    "kind": "arxiv",
    "version": 1
  }
}