Pith Number

pith:7U4XCFVK

pith:1999:7U4XCFVKRIEIR4GACLN4PFJ4U3

not attested not anchored not stored refs pending

About Heisenberg Uncertainty Relation (by E.Schrodinger)

annotated by A. Angelow, M.-C. Batoni

arxiv:quant-ph/9903100 v3 · 1999-03-30 · 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{7U4XCFVKRIEIR4GACLN4PFJ4U3}

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.

Cited by

2 papers in Pith

Coherent states in minimal-length Quantum Mechanics: inequivalent characterizations and emergent squeezing

Multi-Objective Tweezers in Scattering Media

Receipt and verification

First computed	2026-07-04T15:11:45.174826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd397116aa8a0888f0c012dbc7953ca6d80c4edbfd9bd69e3541361f361a60e8

Aliases

arxiv: quant-ph/9903100 · arxiv_version: quant-ph/9903100v3 · doi: 10.48550/arxiv.quant-ph/9903100 · pith_short_12: 7U4XCFVKRIEI · pith_short_16: 7U4XCFVKRIEIR4GA · pith_short_8: 7U4XCFVK

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/7U4XCFVKRIEIR4GACLN4PFJ4U3 \
  | 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: fd397116aa8a0888f0c012dbc7953ca6d80c4edbfd9bd69e3541361f361a60e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938c99de16dcabd14f7aa0830e5dba54c5fc2066df5297912eca7aafbf36c92d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-03-30T20:38:03Z",
    "title_canon_sha256": "20cd8a8b85976bb0d9536f5b7bc5c68a2e146d9d2619f8bd4270eea9cb67ca6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9903100",
    "kind": "arxiv",
    "version": 3
  }
}