Pith Number

pith:MPHXYMFL

pith:2025:MPHXYMFLCS4COZG43E2O3Q2LMY

not attested not anchored not stored refs pending

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems

Hailiang Liu, Peimeng Yin, Zhongming Wang

arxiv:2505.24058 v1 · 2025-05-29 · math.NA · cs.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{MPHXYMFLCS4COZG43E2O3Q2LMY}

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	2026-07-05T11:12:40.925104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63cf7c30ab14b82764dcd934edc34b6626bc2830ea1fa89fb18e1c8a7099c2eb

Aliases

arxiv: 2505.24058 · arxiv_version: 2505.24058v1 · doi: 10.48550/arxiv.2505.24058 · pith_short_12: MPHXYMFLCS4C · pith_short_16: MPHXYMFLCS4COZG4 · pith_short_8: MPHXYMFL

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/MPHXYMFLCS4COZG43E2O3Q2LMY \
  | 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: 63cf7c30ab14b82764dcd934edc34b6626bc2830ea1fa89fb18e1c8a7099c2eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8460b1c73755117d29425b0b948c951d4bca4f5dbd4a884deb4cd1a076d8c083",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-05-29T22:56:30Z",
    "title_canon_sha256": "d80cd19852c0de63eb1292e2fa42021da78662ea318005d43397f332fde11d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24058",
    "kind": "arxiv",
    "version": 1
  }
}