Pith Number

pith:MGAU2D56

pith:2009:MGAU2D56ZJ3UWNP5AW4DEK3UAJ

not attested not anchored not stored refs pending

Minimal Position-Velocity Uncertainty Wave Packets in Relativistic and Non-relativistic Quantum Mechanics

M. H. Al-Hashimi, U.-J. Wiese

arxiv:0907.5178 v1 · 2009-07-29 · quant-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGAU2D56ZJ3UWNP5AW4DEK3UAJ}

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	2026-05-18T02:12:46.462381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61814d0fbeca774b35fd05b8322b74027e5647f7186fc812e3389fc36bddeafb

Aliases

arxiv: 0907.5178 · arxiv_version: 0907.5178v1 · doi: 10.48550/arxiv.0907.5178 · pith_short_12: MGAU2D56ZJ3U · pith_short_16: MGAU2D56ZJ3UWNP5 · pith_short_8: MGAU2D56

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/MGAU2D56ZJ3UWNP5AW4DEK3UAJ \
  | 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: 61814d0fbeca774b35fd05b8322b74027e5647f7186fc812e3389fc36bddeafb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88df35b937d092cd0e906e15b7743477db179a33bddd4660e2bd1cb6140f1208",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-07-29T19:40:46Z",
    "title_canon_sha256": "7924b78a613363ea0f91cd7d100f233c00bea69d96c6d33402d6241b21b814c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5178",
    "kind": "arxiv",
    "version": 1
  }
}