Pith Number

pith:FGDZOZGR

pith:2025:FGDZOZGRQFE2SAYJ7H2PHCZFHW

not attested not anchored not stored refs pending

An exactly solvable model of quantum cosmology: the Hydrogen atom analogy with dust and Cosmological constant

Dipayan Mukherjee, Harkirat Singh Sahota, S. Shankaranarayanan

arxiv:2505.16863 v1 · 2025-05-22 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGDZOZGRQFE2SAYJ7H2PHCZFHW}

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	2026-07-05T11:07:42.371789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29879764d18149a90309f9f4f38b253d896d0053632ce8c964c3ab79fe399ea9

Aliases

arxiv: 2505.16863 · arxiv_version: 2505.16863v1 · doi: 10.48550/arxiv.2505.16863 · pith_short_12: FGDZOZGRQFE2 · pith_short_16: FGDZOZGRQFE2SAYJ · pith_short_8: FGDZOZGR

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/FGDZOZGRQFE2SAYJ7H2PHCZFHW \
  | 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: 29879764d18149a90309f9f4f38b253d896d0053632ce8c964c3ab79fe399ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b05fa8ae4af037b2babdf2a16d9ccbefe41ed5045df7e45d4af2b0c3b272bc",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-05-22T16:21:19Z",
    "title_canon_sha256": "28c3aa5536c1b3e1836452efa3094b7434b8648548bb15f3ba769c22db0782f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16863",
    "kind": "arxiv",
    "version": 1
  }
}