Pith Number

pith:Y5TAACL7

pith:2015:Y5TAACL72QXBKLGJXKH3AEBYSA

not attested not anchored not stored refs pending

A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory

Christiaan C. Stolk

arxiv:1504.01609 v2 · 2015-04-07 · math.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5TAACL72QXBKLGJXKH3AEBYSA}

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	2026-05-18T01:17:20.535334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76600097fd42e152cc9ba8fb01038901c7d4bec7c4578e7981c98c2cdb7a585

Aliases

arxiv: 1504.01609 · arxiv_version: 1504.01609v2 · doi: 10.48550/arxiv.1504.01609 · pith_short_12: Y5TAACL72QXB · pith_short_16: Y5TAACL72QXBKLGJ · pith_short_8: Y5TAACL7

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/Y5TAACL72QXBKLGJXKH3AEBYSA \
  | 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: c76600097fd42e152cc9ba8fb01038901c7d4bec7c4578e7981c98c2cdb7a585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49258a8781a153669e4c9c6369571039cd1b499d0bfe6ebdeb925c1c15a975fe",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-04-07T14:07:01Z",
    "title_canon_sha256": "40cae43e13c3da007309c5368d7ddb78ee75cc3cc7bdfbe8fedffb4192f8bc12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01609",
    "kind": "arxiv",
    "version": 2
  }
}