Pith Number

pith:Y4BL3KTU

pith:2015:Y4BL3KTUBHJENB2OBW2SQQC3H2

not attested not anchored not stored refs pending

A Multigrid-like Algorithm for Probabilistic Domain Decomposition

Francisco Bernal, Juan A. Acebr\'on

arxiv:1512.02818 v2 · 2015-12-09 · 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{Y4BL3KTUBHJENB2OBW2SQQC3H2}

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	2026-05-18T00:53:21.044807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c702bdaa7409d246874e0db528405b3eb0975cd3385f9a97ce2b7f4e5ae5cd93

Aliases

arxiv: 1512.02818 · arxiv_version: 1512.02818v2 · doi: 10.48550/arxiv.1512.02818 · pith_short_12: Y4BL3KTUBHJE · pith_short_16: Y4BL3KTUBHJENB2O · pith_short_8: Y4BL3KTU

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/Y4BL3KTUBHJENB2OBW2SQQC3H2 \
  | 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: c702bdaa7409d246874e0db528405b3eb0975cd3385f9a97ce2b7f4e5ae5cd93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7435265412b836c356012ef6fe2dd9643d5561690a556f4a509d6cb9ecf0376b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-09T11:31:03Z",
    "title_canon_sha256": "126affd65a9861356537e2c76fe5d00925169da65d1a09e8d2ac4b723aad2b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02818",
    "kind": "arxiv",
    "version": 2
  }
}