Pith Number

pith:IXM5RSED

pith:2012:IXM5RSED6UCAGEY2POLCP3UE4Q

not attested not anchored not stored refs pending

Mellin Transform and Image Charge Method for Dielectric Sphere in an Electrolyte

Xiangjun Xing, Yihao Liang, Zhenli Xu

arxiv:1210.2180 v3 · 2012-10-08 · physics.comp-ph · physics.chem-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXM5RSED6UCAGEY2POLCP3UE4Q}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:27:13.775133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d9d8c883f50403131a7b9627ee84e41f093100489ec88c1e963d4d883a26e9

Aliases

arxiv: 1210.2180 · arxiv_version: 1210.2180v3 · doi: 10.48550/arxiv.1210.2180 · pith_short_12: IXM5RSED6UCA · pith_short_16: IXM5RSED6UCAGEY2 · pith_short_8: IXM5RSED

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/IXM5RSED6UCAGEY2POLCP3UE4Q \
  | 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: 45d9d8c883f50403131a7b9627ee84e41f093100489ec88c1e963d4d883a26e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e0ebe61d13943b98fd7c7576458cb94dd523d6b47faca7ce3a940cf6adf1bc",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2012-10-08T08:17:59Z",
    "title_canon_sha256": "d1b2f607f402a889e0fc417ed3b62fcca15cd43debb2b46e3297df38f9c6f04f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2180",
    "kind": "arxiv",
    "version": 3
  }
}