Pith Number

pith:Z2MTWSPG

pith:2010:Z2MTWSPGR4LLCOV4JNOKBWBB7Y

not attested not anchored not stored refs pending

Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers

Bj\"orn Engquist, Lexing Ying

arxiv:1007.4291 v2 · 2010-07-25 · 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{Z2MTWSPGR4LLCOV4JNOKBWBB7Y}

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	2026-05-18T04:42:44.314215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce993b49e68f16b13abc4b5ca0d821fe3267bafde0bed0f9889517e25e4b0bcf

Aliases

arxiv: 1007.4291 · arxiv_version: 1007.4291v2 · doi: 10.48550/arxiv.1007.4291 · pith_short_12: Z2MTWSPGR4LL · pith_short_16: Z2MTWSPGR4LLCOV4 · pith_short_8: Z2MTWSPG

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/Z2MTWSPGR4LLCOV4JNOKBWBB7Y \
  | 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: ce993b49e68f16b13abc4b5ca0d821fe3267bafde0bed0f9889517e25e4b0bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5940d7283b01cc4198d10f3210a9c7e68e22eb3a307cd139381fbfe5f219c586",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-07-25T00:44:52Z",
    "title_canon_sha256": "e56f686652d6ca349877587eb93cf841ce91efff7a0b327a99f2215c2dc5630f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4291",
    "kind": "arxiv",
    "version": 2
  }
}