Pith Number

pith:VVCQRFYE

pith:2017:VVCQRFYEFOLV5W3RE34OCFW7LZ

not attested not anchored not stored refs pending

Quantum motion with trajectories: beyond the Gaussian beam approximation

O. Morandi

arxiv:1711.08915 v1 · 2017-11-24 · 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{VVCQRFYEFOLV5W3RE34OCFW7LZ}

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	2026-05-18T00:11:39.894226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad450897042b975edb7126f8e116df5e42cf8db02de10bc76fe01da47a2c479d

Aliases

arxiv: 1711.08915 · arxiv_version: 1711.08915v1 · doi: 10.48550/arxiv.1711.08915 · pith_short_12: VVCQRFYEFOLV · pith_short_16: VVCQRFYEFOLV5W3R · pith_short_8: VVCQRFYE

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/VVCQRFYEFOLV5W3RE34OCFW7LZ \
  | 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: ad450897042b975edb7126f8e116df5e42cf8db02de10bc76fe01da47a2c479d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643d9846883a6b2d2649f2a2819787dd34d7759e59f3bfa8b1464c16497a7dd9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-24T10:19:17Z",
    "title_canon_sha256": "d52a092ad305bf2bf8f103463c57f44244e49c3426ecd076568bd8303c21952f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08915",
    "kind": "arxiv",
    "version": 1
  }
}