Pith Number

pith:7WC2R6IV

pith:2019:7WC2R6IVZDNHHYBER7CZX3HK7D

not attested not anchored not stored refs pending

Equivalent Hamiltonian approach to quantum cosmology of integrable models

Kiyoshi Shiraishi, Kohjiroh Takimoto, Masashi Kuniyasu, Nahomi Kan

arxiv:1908.09286 v6 · 2019-08-25 · 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{7WC2R6IVZDNHHYBER7CZX3HK7D}

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	2026-07-05T01:01:20.642273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd85a8f915c8da73e0248fc59beceaf8d5f12e5d763cdd9af53c864930a675d5

Aliases

arxiv: 1908.09286 · arxiv_version: 1908.09286v6 · doi: 10.48550/arxiv.1908.09286 · pith_short_12: 7WC2R6IVZDNH · pith_short_16: 7WC2R6IVZDNHHYBE · pith_short_8: 7WC2R6IV

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/7WC2R6IVZDNHHYBER7CZX3HK7D \
  | 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: fd85a8f915c8da73e0248fc59beceaf8d5f12e5d763cdd9af53c864930a675d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e14e9269b800513e66d294c5c71c256ab3ecb9204b100710ba1c7f2eb5afaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-25T09:15:32Z",
    "title_canon_sha256": "8b25ea3627e8153e2328d142a3188149f2c71d33dbbde8ed682fd514e51b56a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09286",
    "kind": "arxiv",
    "version": 6
  }
}