Pith Number

pith:Y3U3FVJK

pith:2025:Y3U3FVJKMK3RB6XHCSQQGEPELF

not attested not anchored not stored refs pending

Black Hole Entropy from String Entanglement

Masaki Shigemori, Soichiro Mori, Tadakatsu Sakai

arxiv:2509.21796 v3 · 2025-09-26 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3U3FVJKMK3RB6XHCSQQGEPELF}

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	2026-05-20T00:04:13.787020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e9b2d52a62b710fae714a10311e4595363da2c270472e0b602d9dd7ab46822

Aliases

arxiv: 2509.21796 · arxiv_version: 2509.21796v3 · doi: 10.48550/arxiv.2509.21796 · pith_short_12: Y3U3FVJKMK3R · pith_short_16: Y3U3FVJKMK3RB6XH · pith_short_8: Y3U3FVJK

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/Y3U3FVJKMK3RB6XHCSQQGEPELF \
  | 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: c6e9b2d52a62b710fae714a10311e4595363da2c270472e0b602d9dd7ab46822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfa1357615cf69f09c78b6b89236fac449b8763f9a8e0388169c5f78e547ee8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-26T02:51:50Z",
    "title_canon_sha256": "a37f8262951ed7683b21789bf926b67a484b0d3176066b86c32a4fcd95418256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.21796",
    "kind": "arxiv",
    "version": 3
  }
}