Pith Number

pith:CADO53KR

pith:2011:CADO53KRBOU4OGY5PRQY4MLNFU

not attested not anchored not stored refs pending

Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation

Michael Holst, Ryan Szypowski, Yunrong Zhu

arxiv:1107.2143 v1 · 2011-07-11 · 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{CADO53KRBOU4OGY5PRQY4MLNFU}

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	2026-05-18T01:08:21.731354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1006eeed510ba9c71b1d7c618e316d2d2d4af704561bc40c08ea993451f9fd30

Aliases

arxiv: 1107.2143 · arxiv_version: 1107.2143v1 · doi: 10.48550/arxiv.1107.2143 · pith_short_12: CADO53KRBOU4 · pith_short_16: CADO53KRBOU4OGY5 · pith_short_8: CADO53KR

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/CADO53KRBOU4OGY5PRQY4MLNFU \
  | 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: 1006eeed510ba9c71b1d7c618e316d2d2d4af704561bc40c08ea993451f9fd30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b435a2d4a6826610e4f13de509c2f0233592d1d751f977fd1194662ebd2284",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-07-11T20:49:07Z",
    "title_canon_sha256": "f88c5eb17de0aedeb7639d7022ebe45f860ad8fbaca1f7359894fee60d3bbd06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2143",
    "kind": "arxiv",
    "version": 1
  }
}