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Pith Number

pith:QMA7SQ5B

pith:2013:QMA7SQ5BF2HXQLSAGWNGQ3DJ4C
not attested not anchored not stored refs pending

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations

Allen Flavell, Bob Eisenberg, Chun Liu, Michael Machen, Xiaofan Li

arxiv:1303.3769 v1 · 2013-03-15 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QMA7SQ5BF2HXQLSAGWNGQ3DJ4C}

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 2026-05-18T03:30:52.505823Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8301f943a12e8f782e40359a686c69e08b082a5f712ec8c5bc6d4eaa4adcb60b

Aliases

arxiv: 1303.3769 · arxiv_version: 1303.3769v1 · doi: 10.48550/arxiv.1303.3769 · pith_short_12: QMA7SQ5BF2HX · pith_short_16: QMA7SQ5BF2HXQLSA · pith_short_8: QMA7SQ5B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QMA7SQ5BF2HXQLSAGWNGQ3DJ4C \
  | 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: 8301f943a12e8f782e40359a686c69e08b082a5f712ec8c5bc6d4eaa4adcb60b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e889fdc584f7f828866cb2da0ddbecc7cbf31edcedc9fc428ee3c26a35005175",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-03-15T13:26:09Z",
    "title_canon_sha256": "485660f1d2f645c087b34196c2abe7e8d87f098f031f9268217869dc38929c34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3769",
    "kind": "arxiv",
    "version": 1
  }
}