Pith Number

pith:PO4RFW5Z

pith:2026:PO4RFW5ZZMHLZH4LJSE2S3RDIZ

not attested not anchored not stored refs pending

Limitations of an approximative phase-space description in strong-field quantum optics

Christian Saugbjerg Lange, Lars Bojer Madsen, Rasmus Vesterager Gothelf

arxiv:2602.04370 v1 · 2026-02-04 · 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{PO4RFW5ZZMHLZH4LJSE2S3RDIZ}

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	2026-06-11T01:09:28.563386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb912dbb9cb0ebc9f8b4c89a96e23465b3af113c2256a681420af1310d4f644

Aliases

arxiv: 2602.04370 · arxiv_version: 2602.04370v1 · doi: 10.48550/arxiv.2602.04370 · pith_short_12: PO4RFW5ZZMHL · pith_short_16: PO4RFW5ZZMHLZH4L · pith_short_8: PO4RFW5Z

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/PO4RFW5ZZMHLZH4LJSE2S3RDIZ \
  | 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: 7bb912dbb9cb0ebc9f8b4c89a96e23465b3af113c2256a681420af1310d4f644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc124a49249e85bda1ed2afd4811d27c10f2b227ea9540a6974f2bf539fa94a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-02-04T09:47:11Z",
    "title_canon_sha256": "4d05c88928d784d7521c3379e5b19df4727de50813c773b583d812b3359d3b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.04370",
    "kind": "arxiv",
    "version": 1
  }
}