Pith Number

pith:75HRISXQ

pith:1992:75HRISXQIXOSJ7VQ4QTR337WCD

not attested not anchored not stored refs pending

The Quantum Mechanics of Closed Systems

James B. Hartle

arxiv:gr-qc/9210006 v2 · 1992-10-13 · gr-qc · 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{75HRISXQIXOSJ7VQ4QTR337WCD}

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	2026-05-18T03:02:18.702418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4f144af045dd24feb0e4271deff610c1b9aba25b40196341b361255476a5d5

Aliases

arxiv: gr-qc/9210006 · arxiv_version: gr-qc/9210006v2 · doi: 10.48550/arxiv.gr-qc/9210006 · pith_short_12: 75HRISXQIXOS · pith_short_16: 75HRISXQIXOSJ7VQ · pith_short_8: 75HRISXQ

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/75HRISXQIXOSJ7VQ4QTR337WCD \
  | 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: ff4f144af045dd24feb0e4271deff610c1b9aba25b40196341b361255476a5d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c364269fe9a98d886e77f5cf74fe6eb1cb95863e5a68035a6afa58a1d35ca634",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1992-10-13T00:53:23Z",
    "title_canon_sha256": "e0a62f632c0becd8aff3b8b68fdcddf9d1c85dae29312ec38d71084da6f08d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9210006",
    "kind": "arxiv",
    "version": 2
  }
}