Pith Number

pith:U3QFNOFA

pith:2026:U3QFNOFAOBFKDV45T6UDOZQPYG

not attested not anchored not stored refs pending

Probing Primordial Cosmology Through BBN Observational Constraints Under Extended Gravitational Dynamics

Abdul Malik Sultan, Manahil Ali, Muhammad Israr Aslam, Nazek Alessa

arxiv:2607.17252 v1 · 2026-07-19 · 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{U3QFNOFAOBFKDV45T6UDOZQPYG}

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	2026-07-21T01:21:23.980472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e056b8a0704aa1d79d9fa837660fc18bdb2816e6cc3102a167188e3c8b5d2e

Aliases

arxiv: 2607.17252 · arxiv_version: 2607.17252v1 · doi: 10.48550/arxiv.2607.17252 · pith_short_12: U3QFNOFAOBFK · pith_short_16: U3QFNOFAOBFKDV45 · pith_short_8: U3QFNOFA

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/U3QFNOFAOBFKDV45T6UDOZQPYG \
  | 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: a6e056b8a0704aa1d79d9fa837660fc18bdb2816e6cc3102a167188e3c8b5d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04e6001ed7d02c178c007e360ebf41689ed69382fd9e97707bb3c732e8229c1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-19T13:41:47Z",
    "title_canon_sha256": "f4b6e2e6eb3a82caafc485718adbe38c37bbedea96d6850ac39ab7dadc67ca11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17252",
    "kind": "arxiv",
    "version": 1
  }
}