Pith Number

pith:WKTTHCFP

pith:2012:WKTTHCFPFLPHGZ37UA4PVSVR5O

not attested not anchored not stored refs pending

A parallel method for solving Laplace equations with Dirichlet data using local boundary integral equations and random walks

Chanhao Yan, Wei Cai, Xuan Zeng

arxiv:1210.1491 v2 · 2012-10-04 · math.NA · math-ph · math.MP · math.PR · physics.class-ph · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKTTHCFPFLPHGZ37UA4PVSVR5O}

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	2026-05-18T03:33:47.915365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a73388af2ade73677fa038facab1eb83e38176c5a5ac75d24af53c4c0b95e9

Aliases

arxiv: 1210.1491 · arxiv_version: 1210.1491v2 · doi: 10.48550/arxiv.1210.1491 · pith_short_12: WKTTHCFPFLPH · pith_short_16: WKTTHCFPFLPHGZ37 · pith_short_8: WKTTHCFP

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/WKTTHCFPFLPHGZ37UA4PVSVR5O \
  | 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: b2a73388af2ade73677fa038facab1eb83e38176c5a5ac75d24af53c4c0b95e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3aaa2ad9e3e8032eb429adc4e3e0bbf439a0aa45e6d6c895e03e73f0409d544",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "physics.class-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-10-04T15:36:35Z",
    "title_canon_sha256": "2400c4c3e6b6bbf3cfe2ff62415ca0a544d5e904ee4603fc41fa82e807d1e9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1491",
    "kind": "arxiv",
    "version": 2
  }
}