Pith Number

pith:WB3ZQBPB

pith:2026:WB3ZQBPBQDCVJ5EUJ67XCAUMSK

not attested not anchored not stored refs pending

Reconstruction of f(G) Gravity from an Interacting Viscous Generalized QCD Ghost Dark Energy Model: Cosmology and Thermodynamics: Cosmology and Thermodynamics

Aziza Altaibayeva, Surajit Chattopadhyay, Ulbossyn Ualikhanova, Zhanar Umurzakhova

arxiv:2607.13109 v1 · 2026-07-14 · 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{WB3ZQBPBQDCVJ5EUJ67XCAUMSK}

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	2026-07-16T00:21:57.543187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0779805e180c554f4944fbf71028c929d533f7f6195301d48baed6155eaafa2

Aliases

arxiv: 2607.13109 · arxiv_version: 2607.13109v1 · doi: 10.48550/arxiv.2607.13109 · pith_short_12: WB3ZQBPBQDCV · pith_short_16: WB3ZQBPBQDCVJ5EU · pith_short_8: WB3ZQBPB

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/WB3ZQBPBQDCVJ5EUJ67XCAUMSK \
  | 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: b0779805e180c554f4944fbf71028c929d533f7f6195301d48baed6155eaafa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6689e4d38339ba8c2c3aa50006418a1b3ba68b7dab6b4696ba66178aeba088f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-14T10:27:17Z",
    "title_canon_sha256": "5f3e9897b451f6ce0fbdf7894f79e02ab2fb0bd9104c9eff0b2418c9d4aab47b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13109",
    "kind": "arxiv",
    "version": 1
  }
}