Pith Number

pith:6WEAJFS2

pith:2014:6WEAJFS2WJP2SQPIAZZXG3CMGA

not attested not anchored not stored refs pending

A spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domains

Francesco Gargano, Giulio Ciraolo, Vincenzo Sciacca

arxiv:1401.5673 v2 · 2014-01-10 · math.NA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WEAJFS2WJP2SQPIAZZXG3CMGA}

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	2026-05-18T02:49:20.103104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f58804965ab25fa941e80673736c4c30242424ecb13b92d35057a3e1fc8afb7a

Aliases

arxiv: 1401.5673 · arxiv_version: 1401.5673v2 · doi: 10.48550/arxiv.1401.5673 · pith_short_12: 6WEAJFS2WJP2 · pith_short_16: 6WEAJFS2WJP2SQPI · pith_short_8: 6WEAJFS2

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/6WEAJFS2WJP2SQPIAZZXG3CMGA \
  | 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: f58804965ab25fa941e80673736c4c30242424ecb13b92d35057a3e1fc8afb7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ae483e15e2d29ce515b383c53c2c5c03973f06868eb9a36eee80050f61a7e6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-01-10T06:30:58Z",
    "title_canon_sha256": "e5c500f9caf838becfdad22c14da10e7be5c7a6e68bdf5a63ea713daea4a957f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5673",
    "kind": "arxiv",
    "version": 2
  }
}