Pith Number

pith:MEP5YH5D

pith:2011:MEP5YH5DLBRBJMYCLQLOXPP2RB

not attested not anchored not stored refs pending

Time Evolution of Harmonic Oscillator Thermal Momentum Superposition States

Ole Steuernagel

arxiv:1109.1818 v1 · 2011-09-09 · 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{MEP5YH5DLBRBJMYCLQLOXPP2RB}

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	2026-05-18T04:13:46.689920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611fdc1fa3586214b3025c16ebbdfa886c7c1054988129060684e89842d93b1f

Aliases

arxiv: 1109.1818 · arxiv_version: 1109.1818v1 · doi: 10.48550/arxiv.1109.1818 · pith_short_12: MEP5YH5DLBRB · pith_short_16: MEP5YH5DLBRBJMYC · pith_short_8: MEP5YH5D

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/MEP5YH5DLBRBJMYCLQLOXPP2RB \
  | 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: 611fdc1fa3586214b3025c16ebbdfa886c7c1054988129060684e89842d93b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c07fd5daf1314e1b5ccd64f8be90c22dae2ef8b90fc78166fa58872f941d264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-09T16:51:12Z",
    "title_canon_sha256": "49fdcbdd5bce8e0e985481633c25bf71041019d5e4eb0eb54a71a4fb180ff6af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1818",
    "kind": "arxiv",
    "version": 1
  }
}