Pith Number

pith:ZZCGG2FM

pith:2025:ZZCGG2FMYGACG463Z3FOYICN6A

not attested not anchored not stored refs pending

Holographic Turbulence and Numerical Estimate of the Fractal Dimension of the Turbulent Horizon

Hongbao Zhang, Jia Du, Yu Tian

arxiv:2510.12198 v2 · 2025-10-14 · hep-th · 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{ZZCGG2FMYGACG463Z3FOYICN6A}

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	2026-07-21T01:20:38.092667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce446368acc1802373dbcecaec204df001ff9e06f8647b11b2891bc781bdc8d2

Aliases

arxiv: 2510.12198 · arxiv_version: 2510.12198v2 · doi: 10.48550/arxiv.2510.12198 · pith_short_12: ZZCGG2FMYGAC · pith_short_16: ZZCGG2FMYGACG463 · pith_short_8: ZZCGG2FM

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/ZZCGG2FMYGACG463Z3FOYICN6A \
  | 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: ce446368acc1802373dbcecaec204df001ff9e06f8647b11b2891bc781bdc8d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca19025434f112295ab24bb5c98d15aa3400699753b29caa1f770086c1ff821",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-10-14T06:44:35Z",
    "title_canon_sha256": "726f60d1882a55ab3da53c1c0f59e9ed25b10d6234a8e1a3c26fd935fc8f86f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.12198",
    "kind": "arxiv",
    "version": 2
  }
}