Pith Number

pith:EVYIB32I

pith:2026:EVYIB32IGXX4AOUICQUF3QUVGI

not attested not anchored not stored refs pending

An effective Friedmann equation for a bouncing anisotropic universe

Syed Moeez Hassan

arxiv:2607.14153 v1 · 2026-07-14 · gr-qc · 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{EVYIB32IGXX4AOUICQUF3QUVGI}

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	2026-07-17T00:20:54.197663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

257080ef4835efc03a8814285dc295320b526ed63470a94c3d5ac85c05a1ce3a

Aliases

arxiv: 2607.14153 · arxiv_version: 2607.14153v1 · doi: 10.48550/arxiv.2607.14153 · pith_short_12: EVYIB32IGXX4 · pith_short_16: EVYIB32IGXX4AOUI · pith_short_8: EVYIB32I

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/EVYIB32IGXX4AOUICQUF3QUVGI \
  | 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: 257080ef4835efc03a8814285dc295320b526ed63470a94c3d5ac85c05a1ce3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f8f8016133e0df4bb64de59823369dce6238347663324506d04f125f6281e0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-14T18:00:10Z",
    "title_canon_sha256": "076c24e46e16b7802ee453169c3c1a1a54117ea40a4cb075806444266f591ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14153",
    "kind": "arxiv",
    "version": 1
  }
}