Pith Number

pith:JX6VTLTZ

pith:2004:JX6VTLTZKHI364W5XIOB5X6Q2Q

not attested not anchored not stored refs pending

Narrow Line Cooling and Momentum-Space Crystals

Andrew D. Ludlow, Jun Ye, Martin M. Boyd, Tetsuya Ido, Thomas H. Loftus

arxiv:physics/0407021 v1 · 2004-07-02 · physics.atom-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{JX6VTLTZKHI364W5XIOB5X6Q2Q}

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	2026-07-04T16:49:53.625848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dfd59ae7951d1bf72ddba1c1edfd0d407765dfe650c4ead69482691e8448f8a

Aliases

arxiv: physics/0407021 · arxiv_version: physics/0407021v1 · doi: 10.48550/arxiv.physics/0407021 · pith_short_12: JX6VTLTZKHI3 · pith_short_16: JX6VTLTZKHI364W5 · pith_short_8: JX6VTLTZ

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/JX6VTLTZKHI364W5XIOB5X6Q2Q \
  | 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: 4dfd59ae7951d1bf72ddba1c1edfd0d407765dfe650c4ead69482691e8448f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25133e5a6ede16b90188ea312f3497cdfd8a450c08cd38c12ebc7d69ea61e216",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2004-07-02T23:41:37Z",
    "title_canon_sha256": "bae8c943cd5ba8b1b27b321cf3dbb535a010fc8c6c016652f83071752de058a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0407021",
    "kind": "arxiv",
    "version": 1
  }
}