Pith Number

pith:M64732VW

pith:2016:M64732VWTLLUTANIL5B425FDXG

not attested not anchored not stored refs pending

A Hybrid Solver of Size Modified Poisson-Boltzmann Equation by Domain Decomposition, Finite Element, and Finite Difference

Dexuan Xie, Jinyong Ying

arxiv:1610.06173 v1 · 2016-10-19 · math.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M64732VWTLLUTANIL5B425FDXG}

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	2026-05-18T01:01:44.036803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67b9fdeab69ad74981a85f43cd74a3b984880046ac14678c3a4f727f0c164fa2

Aliases

arxiv: 1610.06173 · arxiv_version: 1610.06173v1 · doi: 10.48550/arxiv.1610.06173 · pith_short_12: M64732VWTLLU · pith_short_16: M64732VWTLLUTANI · pith_short_8: M64732VW

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/M64732VWTLLUTANIL5B425FDXG \
  | 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: 67b9fdeab69ad74981a85f43cd74a3b984880046ac14678c3a4f727f0c164fa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd00ee43ffd2be5cd922407ee6940a44fde96a32ab4179595220df6f22f2d82",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-19T17:41:09Z",
    "title_canon_sha256": "53335956e1cca19f5d4cbd11eb8dd3e7f1f52d41ae2999bf1f88760f4a986aea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06173",
    "kind": "arxiv",
    "version": 1
  }
}