Pith Number

pith:BCP44BCZ

pith:2011:BCP44BCZVXETM4QWVHZBSSBKSL

not attested not anchored not stored refs pending

How do wave packets spread? Time evolution on Ehrenfest time scales

Fabricio Toscano, Raul O. Vallejos, Roman Schubert

arxiv:1112.4056 v1 · 2011-12-17 · math-ph · math.MP · nlin.CD · 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{BCP44BCZVXETM4QWVHZBSSBKSL}

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	2026-05-18T01:59:06.257860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089fce0459adc9367216a9f219482a92f6141d13621e6a4ede06e0a040a20200

Aliases

arxiv: 1112.4056 · arxiv_version: 1112.4056v1 · doi: 10.48550/arxiv.1112.4056 · pith_short_12: BCP44BCZVXET · pith_short_16: BCP44BCZVXETM4QW · pith_short_8: BCP44BCZ

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/BCP44BCZVXETM4QWVHZBSSBKSL \
  | 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: 089fce0459adc9367216a9f219482a92f6141d13621e6a4ede06e0a040a20200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b11d070916d6d25b77cf31506c08c42d904b2970c4daa0a5b905fad4c84256c",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-17T14:21:26Z",
    "title_canon_sha256": "01b881860ef87c673979cd62166a91a68d2d8854b60d3ba753a9193fbaa3df58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4056",
    "kind": "arxiv",
    "version": 1
  }
}