Pith Number

pith:CGYRM77S

pith:2002:CGYRM77SI66INRXYXL6ULA2XIR

not attested not anchored not stored refs pending

Liouville-von Neumann approach and time-dependent Gaussian approximation

Hyeong-Chan Kim, Jae Hyung Yee

arxiv:hep-th/0211004 v1 · 2002-11-01 · 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{CGYRM77SI66INRXYXL6ULA2XIR}

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	2026-05-18T00:23:27.051226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b1167ff247bc86c6f8bafd4583574473133495d32c8a1f39dd37493c4540f3

Aliases

arxiv: hep-th/0211004 · arxiv_version: hep-th/0211004v1 · doi: 10.48550/arxiv.hep-th/0211004 · pith_short_12: CGYRM77SI66I · pith_short_16: CGYRM77SI66INRXY · pith_short_8: CGYRM77S

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/CGYRM77SI66INRXYXL6ULA2XIR \
  | 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: 11b1167ff247bc86c6f8bafd4583574473133495d32c8a1f39dd37493c4540f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead3dc6ff78929d61a33817f7427452686e698b5ea642bf878cca1f08328b67d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-11-01T09:46:27Z",
    "title_canon_sha256": "252cd46366dd7e783dbdd5d84091ce3ee8458a13b4f5a9b6c0a9a6682205cbad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0211004",
    "kind": "arxiv",
    "version": 1
  }
}