Pith Number

pith:WKYO4ZN7

pith:2012:WKYO4ZN7VC43R3IYJCBFXJOAVN

not attested not anchored not stored refs pending

A composite spectral scheme for variable coefficient Helmholtz problems

P. G. Martinsson

arxiv:1206.4136 v1 · 2012-06-19 · 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{WKYO4ZN7VC43R3IYJCBFXJOAVN}

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	2026-05-18T03:53:16.656899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b0ee65bfa8b9b8ed1848825ba5c0ab61e14e9244cd899e434d294656e0430e

Aliases

arxiv: 1206.4136 · arxiv_version: 1206.4136v1 · doi: 10.48550/arxiv.1206.4136 · pith_short_12: WKYO4ZN7VC43 · pith_short_16: WKYO4ZN7VC43R3IY · pith_short_8: WKYO4ZN7

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/WKYO4ZN7VC43R3IYJCBFXJOAVN \
  | 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: b2b0ee65bfa8b9b8ed1848825ba5c0ab61e14e9244cd899e434d294656e0430e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3454157de3d9f63073d2ff1b663c254c1ec2e5829fcded55aac6726a8015c804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-06-19T08:05:10Z",
    "title_canon_sha256": "6c2b2d16d46b0da09edbdeddae2d870343580110a2cb41053beb1106b1472771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4136",
    "kind": "arxiv",
    "version": 1
  }
}