Pith Number

pith:PJUEBMLH

pith:2012:PJUEBMLHKRLYEJ5QFY6S7ZYQNK

not attested not anchored not stored refs pending

Propagation of Quantum Expectations with Husimi Functions

Caroline Lasser, Johannes Keller

arxiv:1207.7211 v2 · 2012-07-31 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJUEBMLHKRLYEJ5QFY6S7ZYQNK}

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	2026-05-18T03:30:41.945082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a6840b16754578227b02e3d2fe7106aa195e30a0d221982baa7d9eb86744c99

Aliases

arxiv: 1207.7211 · arxiv_version: 1207.7211v2 · doi: 10.48550/arxiv.1207.7211 · pith_short_12: PJUEBMLHKRLY · pith_short_16: PJUEBMLHKRLYEJ5Q · pith_short_8: PJUEBMLH

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/PJUEBMLHKRLYEJ5QFY6S7ZYQNK \
  | 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: 7a6840b16754578227b02e3d2fe7106aa195e30a0d221982baa7d9eb86744c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b61a21920e06123fcd9b375ac62d5d938712acd524341074610efc2c7e788a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-07-31T10:55:10Z",
    "title_canon_sha256": "95a170e617612ac716cca978e3933383e17457a02d0b31f0d1e88bc046ea4c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7211",
    "kind": "arxiv",
    "version": 2
  }
}