Pith Number

pith:HLXPFRIJ

pith:2004:HLXPFRIJPYJNGNEZPUKHJAZDA7

not attested not anchored not stored refs pending

Position and momentum observables on R and on R^3

A. Toigo, C. Carmeli, T. Heinonen

arxiv:quant-ph/0403108 v1 · 2004-03-15 · 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{HLXPFRIJPYJNGNEZPUKHJAZDA7}

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	2026-05-18T01:37:58.624481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aeef2c5097e12d334997d1474832307ceb2dadae6d74286397ef45b4a21ba0a

Aliases

arxiv: quant-ph/0403108 · arxiv_version: quant-ph/0403108v1 · doi: 10.48550/arxiv.quant-ph/0403108 · pith_short_12: HLXPFRIJPYJN · pith_short_16: HLXPFRIJPYJNGNEZ · pith_short_8: HLXPFRIJ

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/HLXPFRIJPYJNGNEZPUKHJAZDA7 \
  | 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: 3aeef2c5097e12d334997d1474832307ceb2dadae6d74286397ef45b4a21ba0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8f9f62bb62c1b8269fe5077098f21e3f91cd9641711db48a6e076bee8f452e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-15T11:15:55Z",
    "title_canon_sha256": "3799e924e85d6f0f3e6100866d537ce2f2012174737f257e4c8380ef4302204f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403108",
    "kind": "arxiv",
    "version": 1
  }
}