Pith Number

pith:PHPS7VUD

pith:2026:PHPS7VUD4IY7S4DEQY2IJFWKIM

not attested not anchored not stored refs pending

Linear Growth of Holographic Time-like Entanglement Entropy and Kasner exponents

Run-Qiu Yang, Zi-Hao Li

arxiv:2606.21079 v1 · 2026-06-19 · 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{PHPS7VUD4IY7S4DEQY2IJFWKIM}

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	2026-06-23T01:12:29.131212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79df2fd683e231f9706486348496ca430ca1783dba1b3631173aa8c2fb7d5117

Aliases

arxiv: 2606.21079 · arxiv_version: 2606.21079v1 · doi: 10.48550/arxiv.2606.21079 · pith_short_12: PHPS7VUD4IY7 · pith_short_16: PHPS7VUD4IY7S4DE · pith_short_8: PHPS7VUD

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/PHPS7VUD4IY7S4DEQY2IJFWKIM \
  | 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: 79df2fd683e231f9706486348496ca430ca1783dba1b3631173aa8c2fb7d5117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "413f5a8cf1fd2031327158107662444a4a5ce12d10752291530116dedad5ba9a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-19T03:59:53Z",
    "title_canon_sha256": "860c1b1cfe97a48c9adb145df6b10190817da487794ff484942e0d44d3689ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21079",
    "kind": "arxiv",
    "version": 1
  }
}