Pith Number

pith:Y5A2IGYU

pith:2018:Y5A2IGYUAXYDT75QGV5NJFZSXP

not attested not anchored not stored refs pending

A Decoupling Two-grid Method for the Time-dependent Poisson-Nernst-Planck Equations

Benzhuo Lu, Ruigang Shen, Shi Shu, Ying Yang

arxiv:1804.00253 v2 · 2018-04-01 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5A2IGYUAXYDT75QGV5NJFZSXP}

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	2026-05-18T00:09:25.396854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c741a41b1405f039ffb0357ad49732bbfbebe98b02300885bf4f1b1ab2e43923

Aliases

arxiv: 1804.00253 · arxiv_version: 1804.00253v2 · doi: 10.48550/arxiv.1804.00253 · pith_short_12: Y5A2IGYUAXYD · pith_short_16: Y5A2IGYUAXYDT75Q · pith_short_8: Y5A2IGYU

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/Y5A2IGYUAXYDT75QGV5NJFZSXP \
  | 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: c741a41b1405f039ffb0357ad49732bbfbebe98b02300885bf4f1b1ab2e43923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db87fff96e152e902f748e1cf31e3c592cc9928f8609e2eaeccb1705d613e9a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-04-01T03:41:25Z",
    "title_canon_sha256": "785c18891b77570f06440c9134f507bcb65bd6bc6cfa41016e0058b58ec75033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00253",
    "kind": "arxiv",
    "version": 2
  }
}