Pith Number

pith:CLHIHZ4E

pith:2000:CLHIHZ4EZJUMU7IRIMZYI5SDVG

not attested not anchored not stored refs pending

On the equivalence of the Langevin and auxiliary field quantization methods for absorbing dielectrics

A. Tip, D.-G. Welsch, L. Knoll, S. Scheel

arxiv:quant-ph/0011012 v1 · 2000-11-02 · 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{CLHIHZ4EZJUMU7IRIMZYI5SDVG}

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	2026-07-04T16:23:03.711434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ce83e784ca68ca7d114333847643a997c874d3eb6b4e5a1e11bdad4bae424d

Aliases

arxiv: quant-ph/0011012 · arxiv_version: quant-ph/0011012v1 · doi: 10.48550/arxiv.quant-ph/0011012 · pith_short_12: CLHIHZ4EZJUM · pith_short_16: CLHIHZ4EZJUMU7IR · pith_short_8: CLHIHZ4E

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/CLHIHZ4EZJUMU7IRIMZYI5SDVG \
  | 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: 12ce83e784ca68ca7d114333847643a997c874d3eb6b4e5a1e11bdad4bae424d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394ec03cc6dfbf405777a682f314daf37dd7939fb8c514641c64c91fbcaf1e81",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-11-02T16:17:40Z",
    "title_canon_sha256": "1604e0604dee2d776f8e086d2687cecbde4fb4e5c999448a4ad93a259d0a89f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0011012",
    "kind": "arxiv",
    "version": 1
  }
}