Pith Number

pith:GRV4AZCV

pith:2018:GRV4AZCVQ4AFVC2J6FYRB3SWHF

not attested not anchored not stored refs pending

Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem

Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Vincent Pagneux

arxiv:1801.08703 v1 · 2018-01-26 · 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{GRV4AZCVQ4AFVC2J6FYRB3SWHF}

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	2026-05-18T00:25:03.232232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346bc0645587005a8b49f17110ee563960183f9118c365b8b7a84c452347484c

Aliases

arxiv: 1801.08703 · arxiv_version: 1801.08703v1 · doi: 10.48550/arxiv.1801.08703 · pith_short_12: GRV4AZCVQ4AF · pith_short_16: GRV4AZCVQ4AFVC2J · pith_short_8: GRV4AZCV

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/GRV4AZCVQ4AFVC2J6FYRB3SWHF \
  | 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: 346bc0645587005a8b49f17110ee563960183f9118c365b8b7a84c452347484c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70fe2149d3c975addd654d5246e89ecc912b0f5caa6ee8bd14d2101fded1962e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-01-26T08:08:33Z",
    "title_canon_sha256": "4189dc00f31fa74884c661cacec4dbee536389ea0106b7dd84237332a7c4dd59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08703",
    "kind": "arxiv",
    "version": 1
  }
}