Pith Number

pith:OPZUTE3M

pith:2017:OPZUTE3MMFNIXWKBUNZYNI52IE

not attested not anchored not stored refs pending

Exact solutions, finite time singularities and non-singular universe models from a variety of $\Lambda(t)$ cosmologies

Supriya Pan

arxiv:1712.01215 v2 · 2017-12-04 · 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{OPZUTE3MMFNIXWKBUNZYNI52IE}

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	2026-05-18T00:26:43.254458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f349936c615a8bd941a37386a3ba4120eff16d9bf27123b9355e2caed6a9ce

Aliases

arxiv: 1712.01215 · arxiv_version: 1712.01215v2 · doi: 10.48550/arxiv.1712.01215 · pith_short_12: OPZUTE3MMFNI · pith_short_16: OPZUTE3MMFNIXWKB · pith_short_8: OPZUTE3M

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/OPZUTE3MMFNIXWKBUNZYNI52IE \
  | 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: 73f349936c615a8bd941a37386a3ba4120eff16d9bf27123b9355e2caed6a9ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e1bac7cde8c246f4cc33fb654a5eabf8926b4c95a2565e4cb6e413f14d2b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-04T17:42:43Z",
    "title_canon_sha256": "3c8cb9770afe3bcbb3edfbb33e0934705874f0c6be8726dcde0497747b1423ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01215",
    "kind": "arxiv",
    "version": 2
  }
}