Pith Number

pith:W2D4M5GY

pith:2018:W2D4M5GYH7DGUCKDHTADWERJK7

not attested not anchored not stored refs pending

Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number

A. Pichler, L. Mascotto

arxiv:1811.01645 v1 · 2018-11-05 · 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{W2D4M5GYH7DGUCKDHTADWERJK7}

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	2026-05-18T00:01:33.672566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b687c674d83fc66a09433cc03b122957e38b1a233d1691e6e9bf42e1884f4664

Aliases

arxiv: 1811.01645 · arxiv_version: 1811.01645v1 · doi: 10.48550/arxiv.1811.01645 · pith_short_12: W2D4M5GYH7DG · pith_short_16: W2D4M5GYH7DGUCKD · pith_short_8: W2D4M5GY

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/W2D4M5GYH7DGUCKDHTADWERJK7 \
  | 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: b687c674d83fc66a09433cc03b122957e38b1a233d1691e6e9bf42e1884f4664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ede9e0be9fee42338afc49ab72e9737a8d58d51a7b986edc8fcd994a501f64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-05T12:47:45Z",
    "title_canon_sha256": "3fc352459ac08c2682c0beaf41a236f77ecde859bb2c8b9a515bacc7bca83aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01645",
    "kind": "arxiv",
    "version": 1
  }
}