Pith Number

pith:XDPFGQ4M

pith:2001:XDPFGQ4MTWANDCCW3RTSP22TKN

not attested not anchored not stored refs pending

Quantum cosmological perfect fluid models

F.G. Alvarenga, G.A. Monerat, J.C. Fabris, N.A. Lemos

arxiv:gr-qc/0106051 v2 · 2001-06-14 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDPFGQ4MTWANDCCW3RTSP22TKN}

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

Exact path integrals on half-line in quantum cosmology with a fluid clock and aspects of operator ordering ambiguity

Receipt and verification

First computed	2026-07-05T03:24:04.609300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8de53438c9d80d18856dc6727eb53535b9202034df20a89cf90f18c8f2e7e07

Aliases

arxiv: gr-qc/0106051 · arxiv_version: gr-qc/0106051v2 · doi: 10.48550/arxiv.gr-qc/0106051 · pith_short_12: XDPFGQ4MTWAN · pith_short_16: XDPFGQ4MTWANDCCW · pith_short_8: XDPFGQ4M

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/XDPFGQ4MTWANDCCW3RTSP22TKN \
  | 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: b8de53438c9d80d18856dc6727eb53535b9202034df20a89cf90f18c8f2e7e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7b4823010dae7d6f01ae6c994f256e5b9e01a775d268e6e009859e11d97f2a5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-06-14T21:16:37Z",
    "title_canon_sha256": "7d4713f9d933ff52c39048254422715720ce9e322d435a8bdfa9b34e16830d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0106051",
    "kind": "arxiv",
    "version": 2
  }
}