Pith Number

pith:PZJPQVBZ

pith:2011:PZJPQVBZ3RD55RXULVHT3WZ7KD

not attested not anchored not stored refs pending

Scattering and delay time for 1D asymmetric potentials: the step-linear and the step-exponential cases

Luca Rizzi, Oliver F. Piattella, Sergio L. Cacciatori, Vittorio Gorini

arxiv:1102.2994 v2 · 2011-02-15 · quant-ph · 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{PZJPQVBZ3RD55RXULVHT3WZ7KD}

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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	2026-05-18T01:14:09.727824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e52f85439dc47dec6f45d4f3ddb3f50c4f1eb3fad6b5b330f3b285d52816dae

Aliases

arxiv: 1102.2994 · arxiv_version: 1102.2994v2 · doi: 10.48550/arxiv.1102.2994 · pith_short_12: PZJPQVBZ3RD5 · pith_short_16: PZJPQVBZ3RD55RXU · pith_short_8: PZJPQVBZ

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/PZJPQVBZ3RD55RXULVHT3WZ7KD \
  | 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: 7e52f85439dc47dec6f45d4f3ddb3f50c4f1eb3fad6b5b330f3b285d52816dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5840f85cf82468b4cdfaecb6149badba80c30b1b0f059b001be92d13d5e8b620",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-15T08:35:30Z",
    "title_canon_sha256": "f15469b7ba29c489a05e6c7219c67932f13d55a423598f97847550bd21ce4a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2994",
    "kind": "arxiv",
    "version": 2
  }
}