Pith Number

pith:ZZX2XRKI

pith:2023:ZZX2XRKI35LHICYV5JJPYYCZMR

not attested not anchored not stored refs pending

Island Formula from Wald-like Entropy with Backreaction

Shinji Hirano

arxiv:2310.03416 v4 · 2023-10-05 · 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{ZZX2XRKI35LHICYV5JJPYYCZMR}

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	2026-07-05T07:44:20.586255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce6fabc548df56740b15ea52fc605964457d29a1cfe455cd0e0439414abab272

Aliases

arxiv: 2310.03416 · arxiv_version: 2310.03416v4 · doi: 10.48550/arxiv.2310.03416 · pith_short_12: ZZX2XRKI35LH · pith_short_16: ZZX2XRKI35LHICYV · pith_short_8: ZZX2XRKI

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/ZZX2XRKI35LHICYV5JJPYYCZMR \
  | 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: ce6fabc548df56740b15ea52fc605964457d29a1cfe455cd0e0439414abab272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8dc03c684946baefb2ef4826ca6cafbf7b1773e92ed9aa302898616eadff05a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-10-05T09:50:50Z",
    "title_canon_sha256": "265e8cd4f87223e10c27bb5c9c3b1ee876a545608fcc6c7cfb3fe0ea5a071921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.03416",
    "kind": "arxiv",
    "version": 4
  }
}