Pith Number

pith:W7DYDBWY

pith:2011:W7DYDBWYSTCG7EKIL2JAO2XNTT

not attested not anchored not stored refs pending

Goal-Oriented Adaptivity and Multilevel Preconditioning for the Poisson-Boltzmann Equation

Burak Aksoylu, Eric Cyr, Michael Holst, Stephen Bond

arxiv:1109.4092 v1 · 2011-09-19 · math.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7DYDBWYSTCG7EKIL2JAO2XNTT}

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	2026-05-18T04:12:45.238137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c78186d894c46f91485e92076aed9cc20e8ff058ee5d18038a4bf7aff703db

Aliases

arxiv: 1109.4092 · arxiv_version: 1109.4092v1 · doi: 10.48550/arxiv.1109.4092 · pith_short_12: W7DYDBWYSTCG · pith_short_16: W7DYDBWYSTCG7EKI · pith_short_8: W7DYDBWY

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/W7DYDBWYSTCG7EKIL2JAO2XNTT \
  | 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: b7c78186d894c46f91485e92076aed9cc20e8ff058ee5d18038a4bf7aff703db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76343ef6262d47c8d3c73f6fadc8fb13fdac1b610e787e58f8c899f575a75672",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-19T17:07:55Z",
    "title_canon_sha256": "af254dcabcee4df471759c3667bdb2c6806e29dbb634bb20985d2ca656efaf0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4092",
    "kind": "arxiv",
    "version": 1
  }
}