Pith Number

pith:CPZQEQL4

pith:2026:CPZQEQL4OEOMFYMHAI23KMDXOH

not attested not anchored not stored refs pending

Probing cosmic dynamics in $f(T)$ teleparallel gravity: Constraints from logarithmic and log-periodic deceleration ansatzes

G. P. Singh, Khomesh R. Patle

arxiv:2606.13261 v1 · 2026-06-11 · 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{CPZQEQL4OEOMFYMHAI23KMDXOH}

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	2026-06-12T01:09:49.342751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f302417c711cc2e1870235b5307771f37475c5b57656079ac0fdba734e9844

Aliases

arxiv: 2606.13261 · arxiv_version: 2606.13261v1 · doi: 10.48550/arxiv.2606.13261 · pith_short_12: CPZQEQL4OEOM · pith_short_16: CPZQEQL4OEOMFYMH · pith_short_8: CPZQEQL4

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/CPZQEQL4OEOMFYMHAI23KMDXOH \
  | 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: 13f302417c711cc2e1870235b5307771f37475c5b57656079ac0fdba734e9844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30307adb0f334923eb4f14346948da2a811b2e6a6316b19d017ff3d7fa45bfca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-11T12:16:42Z",
    "title_canon_sha256": "f15c6367c34dd263062e465a8b19494ff3b4b4b5d667074e23c01ee6415cf68c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13261",
    "kind": "arxiv",
    "version": 1
  }
}