Pith Number

pith:MKEAUZYA

pith:2019:MKEAUZYA4A5O572KJA6CKEJB6T

not attested not anchored not stored refs pending

Parallel Controllability Methods For the Helmholtz Equation

Fr\'ed\'eric Nataf, Jet Hoe Tang, Marcus J. Grote, Pierre-Henri Tournier

arxiv:1903.12522 v1 · 2019-03-29 · math.NA · cs.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{MKEAUZYA4A5O572KJA6CKEJB6T}

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	2026-06-04T20:14:18.939577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62880a6700e03aeeff4a483c251121f4f234d63b48d3e4c27cf349c7898443af

Aliases

arxiv: 1903.12522 · arxiv_version: 1903.12522v1 · doi: 10.48550/arxiv.1903.12522 · pith_short_12: MKEAUZYA4A5O · pith_short_16: MKEAUZYA4A5O572K · pith_short_8: MKEAUZYA

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/MKEAUZYA4A5O572KJA6CKEJB6T \
  | 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: 62880a6700e03aeeff4a483c251121f4f234d63b48d3e4c27cf349c7898443af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96ab827c91d74a52215373a96cc5129af6078d230da19e9f44ecc783036dea7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-29T13:57:44Z",
    "title_canon_sha256": "25029cf27ce826f28d8c24eb8a0d9987f49acc156e5d33b8944dd398e5e6d575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12522",
    "kind": "arxiv",
    "version": 1
  }
}