Pith Number

pith:HK5VIY3W

pith:1999:HK5VIY3WWYAFUA4V5J5ARDQSXM

not attested not anchored not stored refs pending

QED in the Presence of Arbitrary Kramers-Kronig Dielectric Media

D.-G. Welsch, S. Scheel

arxiv:quant-ph/9906001 v2 · 1999-06-01 · 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{HK5VIY3WWYAFUA4V5J5ARDQSXM}

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	2026-07-04T14:47:26.241710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3abb546376b6005a0395ea7a088e12bb2132a3f5da11a71888ec6a6ee91d8fd4

Aliases

arxiv: quant-ph/9906001 · arxiv_version: quant-ph/9906001v2 · doi: 10.48550/arxiv.quant-ph/9906001 · pith_short_12: HK5VIY3WWYAF · pith_short_16: HK5VIY3WWYAFUA4V · pith_short_8: HK5VIY3W

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/HK5VIY3WWYAFUA4V5J5ARDQSXM \
  | 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: 3abb546376b6005a0395ea7a088e12bb2132a3f5da11a71888ec6a6ee91d8fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043f192fa03bb51efb978d62dfc1fbaf7d9e097ac907dd6c30c74dbd06920d15",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-06-01T09:03:48Z",
    "title_canon_sha256": "4f5fa50210aa32dcfed98429e5b2b3744294e5e7eae8b3342ccf96a5d023f399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9906001",
    "kind": "arxiv",
    "version": 2
  }
}