Pith Number

pith:VAYJ2VZI

pith:2018:VAYJ2VZILXXZU3FLKDKQMSDB4N

not attested not anchored not stored refs pending

Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach

Praloy Das, Probir Pal, Subir Ghosh, Supriya Pan

arxiv:1801.07970 v2 · 2018-01-24 · hep-th · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAYJ2VZILXXZU3FLKDKQMSDB4N}

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	2026-05-18T00:11:06.385044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8309d57285def9a6cab50d5064861e37b51d731bbfcf71baf0de027c9aa058a

Aliases

arxiv: 1801.07970 · arxiv_version: 1801.07970v2 · doi: 10.48550/arxiv.1801.07970 · pith_short_12: VAYJ2VZILXXZ · pith_short_16: VAYJ2VZILXXZU3FL · pith_short_8: VAYJ2VZI

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/VAYJ2VZILXXZU3FLKDKQMSDB4N \
  | 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: a8309d57285def9a6cab50d5064861e37b51d731bbfcf71baf0de027c9aa058a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8059bad87f3808123bbcac7000fff309287cda05337de385edd06a9f78f332f6",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-01-24T12:59:41Z",
    "title_canon_sha256": "99f8c59ce16565d5db323006535cd6abf8cbdc79f8f45cdfe0e47a079570a4a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07970",
    "kind": "arxiv",
    "version": 2
  }
}