Pith Number

pith:PU3YQYZP

pith:2010:PU3YQYZPWF4PYNQE6STJJW5MJA

not attested not anchored not stored refs pending

Strong Semiclassical Approximation of Wigner Functions for the Hartree Dynamics

A. Athanassoulis, F. Pezzotti, M. Pulvirenti, T. Paul

arxiv:1009.0470 v1 · 2010-09-02 · math-ph · math.AP · 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{PU3YQYZPWF4PYNQE6STJJW5MJA}

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	2026-05-18T02:07:32.669934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3788632fb178fc3604f4a694dbac4822446bbe752e5941f5c0b45414753d49

Aliases

arxiv: 1009.0470 · arxiv_version: 1009.0470v1 · doi: 10.48550/arxiv.1009.0470 · pith_short_12: PU3YQYZPWF4P · pith_short_16: PU3YQYZPWF4PYNQE · pith_short_8: PU3YQYZP

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/PU3YQYZPWF4PYNQE6STJJW5MJA \
  | 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: 7d3788632fb178fc3604f4a694dbac4822446bbe752e5941f5c0b45414753d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4b1a0fcc34e38f0c6594faded0adff4c3b075eb25be5bc5f0fe804b625b3a0",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-02T16:39:16Z",
    "title_canon_sha256": "2e44f30c1352f6fa4cb33c85569818d418a939c520dce1de3f9ed82b101bf04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0470",
    "kind": "arxiv",
    "version": 1
  }
}