Pith Number

pith:VAXQDNNV

pith:1998:VAXQDNNVQLFIJ5TMQH3B3Q4PCF

not attested not anchored not stored refs pending

Quantile motion of electromagnetic waves in wave guides of varying cross section and dispersive media

E. Gjonaj, H.D. Dahmen, T. Stroh

arxiv:physics/9809033 v1 · 1998-09-22 · physics.class-ph · 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{VAXQDNNVQLFIJ5TMQH3B3Q4PCF}

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	2026-05-18T00:34:16.532612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82f01b5b582ca84f66c81f61dc38f116ebf0ba095e3ef35fc94f441828f71e5

Aliases

arxiv: physics/9809033 · arxiv_version: physics/9809033v1 · doi: 10.48550/arxiv.physics/9809033 · pith_short_12: VAXQDNNVQLFI · pith_short_16: VAXQDNNVQLFIJ5TM · pith_short_8: VAXQDNNV

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/VAXQDNNVQLFIJ5TMQH3B3Q4PCF \
  | 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: a82f01b5b582ca84f66c81f61dc38f116ebf0ba095e3ef35fc94f441828f71e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3678eea07e47075eddf9546bd949e7b0f74b4c7c019c2381242769f4c6f1780",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "1998-09-22T10:15:16Z",
    "title_canon_sha256": "cd31c9547b3566fb24def33e9cebec64a18a3d3ebfcdce8e310b7abbee63205a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9809033",
    "kind": "arxiv",
    "version": 1
  }
}