Pith Number

pith:U4CAQL65

pith:2000:U4CAQL65TEORIAHH5KLDLVL4ZW

not attested not anchored not stored refs pending

Shape of the amplification line corresponding to an adjacent transition in a strong field

A. K. Popov, T. Ya. Popova

arxiv:quant-ph/0005049 v1 · 2000-05-15 · quant-ph · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4CAQL65TEORIAHH5KLDLVL4ZW}

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	2026-07-04T14:45:28.591176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a704082fdd991d1400e7ea9635d57ccda581420de25b2ee02725bb744d190c6e

Aliases

arxiv: quant-ph/0005049 · arxiv_version: quant-ph/0005049v1 · doi: 10.48550/arxiv.quant-ph/0005049 · pith_short_12: U4CAQL65TEOR · pith_short_16: U4CAQL65TEORIAHH · pith_short_8: U4CAQL65

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/U4CAQL65TEORIAHH5KLDLVL4ZW \
  | 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: a704082fdd991d1400e7ea9635d57ccda581420de25b2ee02725bb744d190c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f31e43281b049cee9d01bc1d74f483cd7764e0a1509edcc415891651886bad",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-05-15T11:17:43Z",
    "title_canon_sha256": "b5ee3fca283a479657b456aa6561d306f855f5d5bca998033373b3a5b0ea3397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0005049",
    "kind": "arxiv",
    "version": 1
  }
}