Pith Number

pith:EFWE4PBX

pith:2001:EFWE4PBXOWVKU6TXFF5XWKJRME

not attested not anchored not stored refs pending

Deformation Quantization: Quantum Mechanics Lives and Works in Phase-Space

Cosmas K Zachos

arxiv:hep-th/0110114 v3 · 2001-10-12 · hep-th · 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{EFWE4PBXOWVKU6TXFF5XWKJRME}

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.

Cited by

1 paper in Pith

Phase space quantization of anisotropic cosmologies: Taub and Kantowski-Sachs models

Receipt and verification

First computed	2026-07-04T15:18:28.145142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216c4e3c3775aaaa7a77297b7b293161048c2da4eedd67cdb24cb7c1c9415fd8

Aliases

arxiv: hep-th/0110114 · arxiv_version: hep-th/0110114v3 · doi: 10.48550/arxiv.hep-th/0110114 · pith_short_12: EFWE4PBXOWVK · pith_short_16: EFWE4PBXOWVKU6TX · pith_short_8: EFWE4PBX

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/EFWE4PBXOWVKU6TXFF5XWKJRME \
  | 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: 216c4e3c3775aaaa7a77297b7b293161048c2da4eedd67cdb24cb7c1c9415fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e30921deaf4dd0d79a1eb74e8832aa7425093c3291aead6856301af4a12154",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-10-12T16:25:41Z",
    "title_canon_sha256": "cad3a28b9b90b11c1c782dfd8a04732f0483b130f40e20aefe06923dc433cb26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0110114",
    "kind": "arxiv",
    "version": 3
  }
}