Pith Number

pith:QHXMQAFI

pith:2019:QHXMQAFIIDOWW6H3SMKLKFTXRB

not attested not anchored not stored refs pending

Revisiting pre-inflationary universe of family of $\alpha-$attractor in loop quantum cosmology

Anzhong Wang, M. Shahalam, Mudhahir Al Ajmi, R. Myrzakulov

arxiv:1912.00616 v3 · 2019-12-02 · gr-qc · astro-ph.CO · hep-ph · 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{QHXMQAFIIDOWW6H3SMKLKFTXRB}

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	2026-07-05T01:36:27.446201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81eec800a840dd6b78fb9314b51677884017b562a8221bec401fd1e221d901b8

Aliases

arxiv: 1912.00616 · arxiv_version: 1912.00616v3 · doi: 10.48550/arxiv.1912.00616 · pith_short_12: QHXMQAFIIDOW · pith_short_16: QHXMQAFIIDOWW6H3 · pith_short_8: QHXMQAFI

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/QHXMQAFIIDOWW6H3SMKLKFTXRB \
  | 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: 81eec800a840dd6b78fb9314b51677884017b562a8221bec401fd1e221d901b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c602de8ab366d28f6daa1f2a4c6ca3abff9d5efab09cf7a52b5b198d7b8a9f08",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-02T08:04:58Z",
    "title_canon_sha256": "4772b2df116b3cc5a51dc5332fa5d8ca32ab72d1a89365ea043c7d82d0cb4cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00616",
    "kind": "arxiv",
    "version": 3
  }
}