Pith Number

pith:WMBJLH5X

pith:2012:WMBJLH5X4ES4M25MNH3HOJH4S5

not attested not anchored not stored refs pending

Exact Phase Space Localized Projectors from Energy Eigenstates

J.J.Halliwell

arxiv:1207.0992 v1 · 2012-07-04 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMBJLH5X4ES4M25MNH3HOJH4S5}

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	2026-05-18T01:35:28.425958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b302959fb7e125c66bac69f67724fc976ef4cfa161c7c029b7f2502769f885b9

Aliases

arxiv: 1207.0992 · arxiv_version: 1207.0992v1 · doi: 10.48550/arxiv.1207.0992 · pith_short_12: WMBJLH5X4ES4 · pith_short_16: WMBJLH5X4ES4M25M · pith_short_8: WMBJLH5X

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/WMBJLH5X4ES4M25MNH3HOJH4S5 \
  | 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: b302959fb7e125c66bac69f67724fc976ef4cfa161c7c029b7f2502769f885b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4d819e47cba0b1d3d00b48a0d123f978563625cce8110f595602d05833c26e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-07-04T14:23:29Z",
    "title_canon_sha256": "796a56ef759854f9bfb889ebab71742d54ff28c3033a11b29b8493bdb5b0038e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0992",
    "kind": "arxiv",
    "version": 1
  }
}