Pith Number

pith:TLWPBINQ

pith:2018:TLWPBINQTW2QMMLORR7NFWCYKB

not attested not anchored not stored refs pending

Poisson-Boltzmann Equation with a Random Field for Charged Fluids

Li Wan, Ning-Hua Tong

arxiv:1811.06334 v2 · 2018-11-15 · physics.chem-ph · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLWPBINQTW2QMMLORR7NFWCYKB}

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	2026-05-17T23:41:30.915197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aecf0a1b09db506316e8c7ed2d8585060fb28adf190fe1ef6edeab9b7340a08

Aliases

arxiv: 1811.06334 · arxiv_version: 1811.06334v2 · doi: 10.48550/arxiv.1811.06334 · pith_short_12: TLWPBINQTW2Q · pith_short_16: TLWPBINQTW2QMMLO · pith_short_8: TLWPBINQ

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/TLWPBINQTW2QMMLORR7NFWCYKB \
  | 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: 9aecf0a1b09db506316e8c7ed2d8585060fb28adf190fe1ef6edeab9b7340a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b6b8d4d8dd140b67470f20a908c5f8600395980324c6edc3b066fc4f6b4dc9",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2018-11-15T13:23:31Z",
    "title_canon_sha256": "8ee7652094e4d9b2dff8b114b84a1a2a0785574789be8cc9ce2f0af41b77413f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06334",
    "kind": "arxiv",
    "version": 2
  }
}