Pith Number

pith:XTTCG5NL

pith:2017:XTTCG5NLZ7ZOQH2CSOWAUY5NJY

not attested not anchored not stored refs pending

A Two-grid Method for Linearizing and Symmetrizing the Steady-state Poisson-Nernst-Planck Equations

Hang Cheng, Xuefang Li, Ying Yang

arxiv:1703.07463 v1 · 2017-03-21 · 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{XTTCG5NLZ7ZOQH2CSOWAUY5NJY}

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	2026-05-18T00:48:08.749628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce62375abcff2e81f4293ac0a63ad4e1b0c64734079a4d8dd1db97b36ce62d6

Aliases

arxiv: 1703.07463 · arxiv_version: 1703.07463v1 · doi: 10.48550/arxiv.1703.07463 · pith_short_12: XTTCG5NLZ7ZO · pith_short_16: XTTCG5NLZ7ZOQH2C · pith_short_8: XTTCG5NL

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/XTTCG5NLZ7ZOQH2CSOWAUY5NJY \
  | 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: bce62375abcff2e81f4293ac0a63ad4e1b0c64734079a4d8dd1db97b36ce62d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e9547b0df274d7131dee9aa98bcc8cec253e5158aac03c832314b7f48221a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-21T23:11:50Z",
    "title_canon_sha256": "43fa3eec2d7368226e1d97baa70d295166993fb4231717fcd113fd0ce82e4cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07463",
    "kind": "arxiv",
    "version": 1
  }
}