Pith Number

pith:X3HVTA6G

pith:2014:X3HVTA6GE3ULMPWI2UFDV2HYVB

not attested not anchored not stored refs pending

Functional differentiability in time-dependent quantum mechanics

Markus Penz, Michael Ruggenthaler

arxiv:1405.1647 v4 · 2014-05-07 · math-ph · math.FA · math.MP · 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{X3HVTA6GE3ULMPWI2UFDV2HYVB}

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	2026-05-18T02:18:33.093144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

becf5983c626e8b63ec8d50a3ae8f8a877b12b9a9d9c0acabb5ace585dfea436

Aliases

arxiv: 1405.1647 · arxiv_version: 1405.1647v4 · doi: 10.48550/arxiv.1405.1647 · pith_short_12: X3HVTA6GE3UL · pith_short_16: X3HVTA6GE3ULMPWI · pith_short_8: X3HVTA6G

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/X3HVTA6GE3ULMPWI2UFDV2HYVB \
  | 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: becf5983c626e8b63ec8d50a3ae8f8a877b12b9a9d9c0acabb5ace585dfea436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ad2b986d2f41136ec9ed58b96112a76cca244c06c546a98fce9f6109fc6b96",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-05-07T15:42:41Z",
    "title_canon_sha256": "0dfca169513250bf9024e361f672e42cdebc06dc03b1d8a52f68577fbb55d603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1647",
    "kind": "arxiv",
    "version": 4
  }
}