pith. sign in
Pith Number

pith:RXMQWGO5

pith:2010:RXMQWGO5RO7SO77VG5KQQQ3JFZ
not attested not anchored not stored refs pending

Exact phase space functional for two-body systems

Jos\'e M. Gracia-Bond\'ia, Joseph C. V\'arilly

arxiv:1011.4742 v1 · 2010-11-22 · physics.chem-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RXMQWGO5RO7SO77VG5KQQQ3JFZ}

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 2026-05-18T04:35:04.060968Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8dd90b19dd8bbf277ff537550843692e715d7073c82a2072ac24d832ef06b866

Aliases

arxiv: 1011.4742 · arxiv_version: 1011.4742v1 · doi: 10.48550/arxiv.1011.4742 · pith_short_12: RXMQWGO5RO7S · pith_short_16: RXMQWGO5RO7SO77V · pith_short_8: RXMQWGO5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RXMQWGO5RO7SO77VG5KQQQ3JFZ \
  | 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: 8dd90b19dd8bbf277ff537550843692e715d7073c82a2072ac24d832ef06b866
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5b75d446382874bf81c5c6bf813fe9f8e3f357012c004c9ad8bbe102e357b76a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2010-11-22T06:47:55Z",
    "title_canon_sha256": "84de14f34a6889fdffc52ab308cd741808fad877f07fd34c765959f7c7684979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4742",
    "kind": "arxiv",
    "version": 1
  }
}