Pith Number

pith:ZXOKCD7D

pith:2013:ZXOKCD7DBZE7KHTAOZCG6DZHLZ

not attested not anchored not stored refs pending

Late time cosmic acceleration: ABCD of dark energy and modified theories of gravity

M. Sami, R. Myrzakulov

arxiv:1309.4188 v2 · 2013-09-17 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXOKCD7DBZE7KHTAOZCG6DZHLZ}

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.

Cited by

1 paper in Pith

Fine-Tuning Small Reasoning Models for Quantum Field Theory

Receipt and verification

First computed	2026-05-18T00:49:42.922917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cddca10fe30e49f51e6076446f0f275e51c430c94d86b47460871afb20eb09c7

Aliases

arxiv: 1309.4188 · arxiv_version: 1309.4188v2 · doi: 10.48550/arxiv.1309.4188 · pith_short_12: ZXOKCD7DBZE7 · pith_short_16: ZXOKCD7DBZE7KHTA · pith_short_8: ZXOKCD7D

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/ZXOKCD7DBZE7KHTAOZCG6DZHLZ \
  | 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: cddca10fe30e49f51e6076446f0f275e51c430c94d86b47460871afb20eb09c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55bf12c2770d42785114d28807e02fa369007f4a05b432d456cde517d042a01",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-17T05:39:25Z",
    "title_canon_sha256": "295a1f0889d7f73c2950378f013667d7ef4ee906167ad581fea11475131a9215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4188",
    "kind": "arxiv",
    "version": 2
  }
}