Pith Number

pith:MTKTMHHX

pith:1998:MTKTMHHXZRI3S4R5MOOJEAXMAG

not attested not anchored not stored refs pending

QED commutation relations for inhomogeneous Kramers-Kronig dielectrics

D.-G. Welsch, L. Knoell, S. Scheel

arxiv:quant-ph/9803031 v1 · 1998-03-13 · quant-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{MTKTMHHXZRI3S4R5MOOJEAXMAG}

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	2026-07-04T16:10:28.362874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d5361cf7cc51b9723d639c9202ec01b4ff089764899ec7bf6bcf6ed8a7348f

Aliases

arxiv: quant-ph/9803031 · arxiv_version: quant-ph/9803031v1 · doi: 10.48550/arxiv.quant-ph/9803031 · pith_short_12: MTKTMHHXZRI3 · pith_short_16: MTKTMHHXZRI3S4R5 · pith_short_8: MTKTMHHX

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/MTKTMHHXZRI3S4R5MOOJEAXMAG \
  | 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: 64d5361cf7cc51b9723d639c9202ec01b4ff089764899ec7bf6bcf6ed8a7348f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07473425528518c742d93fc3ed2099c887896cf3065296d8853bc8ef0fa26a46",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-03-13T15:32:57Z",
    "title_canon_sha256": "64bd099c5261795a04dffd57bd13c59e1fd0c126103ce8ad22358ad834465340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9803031",
    "kind": "arxiv",
    "version": 1
  }
}