Pith Number

pith:IW4II5SE

pith:2011:IW4II5SEXYTRE5ZAGRU2RK56AK

not attested not anchored not stored refs pending

On stability of discretizations of the Helmholtz equation (extended version)

Jens Markus Melenk, Sofi Esterhazy

arxiv:1105.2112 v2 · 2011-05-11 · 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{IW4II5SEXYTRE5ZAGRU2RK56AK}

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	2026-05-18T02:20:11.200791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b8847644be271277203469a8abbe028d35cdc5579525cc544e90a20094233e

Aliases

arxiv: 1105.2112 · arxiv_version: 1105.2112v2 · doi: 10.48550/arxiv.1105.2112 · pith_short_12: IW4II5SEXYTR · pith_short_16: IW4II5SEXYTRE5ZA · pith_short_8: IW4II5SE

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/IW4II5SEXYTRE5ZAGRU2RK56AK \
  | 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: 45b8847644be271277203469a8abbe028d35cdc5579525cc544e90a20094233e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e1ef5ecfe2bf011ed6873df51c5510f5f98603788506b7a8232ff439200f18f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-05-11T08:05:01Z",
    "title_canon_sha256": "6e00cd08a7eca4b7df9827a6523027f38f49362c81d636bc63b41ae50d601e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2112",
    "kind": "arxiv",
    "version": 2
  }
}