Pith Number

pith:K44OGVRZ

pith:2004:K44OGVRZS4PWM3QXBZ47OVGSU6

not attested not anchored not stored refs pending

Propagation of Wigner functions for the Schroedinger equation with a perturbed periodic potential

Gianluca Panati, Stefan Teufel

arxiv:math-ph/0403037 v1 · 2004-03-19 · 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{K44OGVRZS4PWM3QXBZ47OVGSU6}

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	2026-05-18T03:39:53.507425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5738e35639971f666e170e79f754d2a79897eeada0b8e9162a4eb45adc228464

Aliases

arxiv: math-ph/0403037 · arxiv_version: math-ph/0403037v1 · doi: 10.48550/arxiv.math-ph/0403037 · pith_short_12: K44OGVRZS4PW · pith_short_16: K44OGVRZS4PWM3QX · pith_short_8: K44OGVRZ

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/K44OGVRZS4PWM3QXBZ47OVGSU6 \
  | 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: 5738e35639971f666e170e79f754d2a79897eeada0b8e9162a4eb45adc228464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7056777f487606e3c7433cdbd2e225a06a76b01b05049cfd21b9081b5aad2bd7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-03-19T13:50:19Z",
    "title_canon_sha256": "cacf1bfb8c65f9c0aae9569c1e0d09140fbfab437178139aeb3db162a08a1083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0403037",
    "kind": "arxiv",
    "version": 1
  }
}