Pith Number

pith:CKHA2DLJ

pith:1996:CKHA2DLJ3USVQHPDTZXT4PCRVU

not attested not anchored not stored refs pending

Quantized Fields in a Nonlinear Dielectric Medium: A Microscopic Approach

Leonard Mlodinow, Mark Hillery

arxiv:atom-ph/9608002 v1 · 1996-08-26 · atom-ph · physics.atom-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{CKHA2DLJ3USVQHPDTZXT4PCRVU}

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	2026-05-18T01:07:25.120741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128e0d0d69dd25581de39e6f3e3c51ad3f95b8dbd0c0658667ad78ce227ce1a2

Aliases

arxiv: atom-ph/9608002 · arxiv_version: atom-ph/9608002v1 · doi: 10.48550/arxiv.atom-ph/9608002 · pith_short_12: CKHA2DLJ3USV · pith_short_16: CKHA2DLJ3USVQHPD · pith_short_8: CKHA2DLJ

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/CKHA2DLJ3USVQHPDTZXT4PCRVU \
  | 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: 128e0d0d69dd25581de39e6f3e3c51ad3f95b8dbd0c0658667ad78ce227ce1a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c699c8a8f7e017b78985c1d8a8aff3125e606153d2e55921116675632ab71cca",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "",
    "primary_cat": "atom-ph",
    "submitted_at": "1996-08-26T20:26:02Z",
    "title_canon_sha256": "d0c23a145a94fae2bc2aac5639dc151da148c7617ed115fb89b5d069859c2e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "atom-ph/9608002",
    "kind": "arxiv",
    "version": 1
  }
}