pith. sign in
Pith Number

pith:KV5WYOAJ

pith:1992:KV5WYOAJZXHY72VQ4SNWCWT7K4
not attested not anchored not stored refs pending

Classical Equations for Quantum Systems

James B. Hartle, Murray Gell-Mann

arxiv:gr-qc/9210010 v2 · 1992-10-21 · gr-qc · hep-th · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KV5WYOAJZXHY72VQ4SNWCWT7K4}

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 2026-05-18T03:02:18.690492Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

557b6c3809cdcf8feab0e49b615a7f5724aca91bb260c1563e503b41ee909f7f

Aliases

arxiv: gr-qc/9210010 · arxiv_version: gr-qc/9210010v2 · doi: 10.48550/arxiv.gr-qc/9210010 · pith_short_12: KV5WYOAJZXHY · pith_short_16: KV5WYOAJZXHY72VQ · pith_short_8: KV5WYOAJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KV5WYOAJZXHY72VQ4SNWCWT7K4 \
  | 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: 557b6c3809cdcf8feab0e49b615a7f5724aca91bb260c1563e503b41ee909f7f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "175557ff154fd8dfefb783c9b6303b7920898f784183e7a2f50bd8645154f606",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "1992-10-21T01:07:17Z",
    "title_canon_sha256": "51ffca8db3eb93d3fea23c67ab4d5b4588da2921c3c67b8a7e49166649f650d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9210010",
    "kind": "arxiv",
    "version": 2
  }
}