Pith Number

pith:ULS67LMD

pith:2022:ULS67LMDRGEJQHW6KX7TVMA747

not attested not anchored not stored refs pending

The Oscillatory Universe, phantom crossing and the Hubble tension

Gulmira Yergaliyeva, Kuralay Yesmakhanova, Mohit K. Sharma, Shibesh Kumar Jas Pacif

arxiv:2205.13514 v2 · 2022-05-26 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULS67LMDRGEJQHW6KX7TVMA747}

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	2026-07-05T06:15:13.233136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e5efad838988981ede55ff3ab01fe7e8497a333d0ce5b6b750cf5b524a63a9

Aliases

arxiv: 2205.13514 · arxiv_version: 2205.13514v2 · doi: 10.48550/arxiv.2205.13514 · pith_short_12: ULS67LMDRGEJ · pith_short_16: ULS67LMDRGEJQHW6 · pith_short_8: ULS67LMD

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/ULS67LMDRGEJQHW6KX7TVMA747 \
  | 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: a2e5efad838988981ede55ff3ab01fe7e8497a333d0ce5b6b750cf5b524a63a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f670a4222ee73c2690194f74bb753f9aa662ab78f986fc42a52aaedaa7b5a681",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-05-26T17:33:05Z",
    "title_canon_sha256": "34b81906a6778b77a5f3eb1dd60b7b66ab082048fd54b87aecf2564267c65811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.13514",
    "kind": "arxiv",
    "version": 2
  }
}