Pith Number

pith:P3SAM7T2

pith:2015:P3SAM7T24G2SJKFPNI5T5F5P7O

not attested not anchored not stored refs pending

A Survey of Trefftz Methods for the Helmholtz Equation

Andrea Moiola, Ilaria Perugia, Ralf Hiptmair

arxiv:1506.04521 v2 · 2015-06-15 · 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{P3SAM7T24G2SJKFPNI5T5F5P7O}

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	2026-06-04T17:09:20.398830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee4067e7ae1b524a8af6a3b3e97affb9e57e4cad17df09711ee6798e120d150

Aliases

arxiv: 1506.04521 · arxiv_version: 1506.04521v2 · doi: 10.48550/arxiv.1506.04521 · pith_short_12: P3SAM7T24G2S · pith_short_16: P3SAM7T24G2SJKFP · pith_short_8: P3SAM7T2

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/P3SAM7T24G2SJKFPNI5T5F5P7O \
  | 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: 7ee4067e7ae1b524a8af6a3b3e97affb9e57e4cad17df09711ee6798e120d150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a77aaf598f975a815397bd63441d27e0bd00bc095d29f027f42876cc7f5aae1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-06-15T09:02:55Z",
    "title_canon_sha256": "f188f15017888f31e2e036079e2ed7714bc2a6b9ca0403cc958b4cd0fa453ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04521",
    "kind": "arxiv",
    "version": 2
  }
}