Pith Number

pith:WB6JG4PT

pith:2015:WB6JG4PTUTHW6XXOVNWKJG4GIH

not attested not anchored not stored refs pending

Nested domain decomposition with polarized traces for the 2D Helmholtz equation

Laurent Demanet, Leonardo Zepeda-N\'u\~nez

arxiv:1510.01831 v2 · 2015-10-07 · 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{WB6JG4PTUTHW6XXOVNWKJG4GIH}

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	2026-05-18T00:53:40.508913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07c9371f3a4cf6f5eeeab6ca49b8641e6bc0a84c0f6776f57c908a77947d4c3

Aliases

arxiv: 1510.01831 · arxiv_version: 1510.01831v2 · doi: 10.48550/arxiv.1510.01831 · pith_short_12: WB6JG4PTUTHW · pith_short_16: WB6JG4PTUTHW6XXO · pith_short_8: WB6JG4PT

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/WB6JG4PTUTHW6XXOVNWKJG4GIH \
  | 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: b07c9371f3a4cf6f5eeeab6ca49b8641e6bc0a84c0f6776f57c908a77947d4c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e76168cc96d29c00f6971367ba218341d94623be4e8981b4755e72c26221f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-07T05:42:19Z",
    "title_canon_sha256": "035be6baba93c845c0c2bfd949841037fe1853e1f95c2ff56af5bbdbeff63734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01831",
    "kind": "arxiv",
    "version": 2
  }
}