Pith Number

pith:2TC7Y2KL

pith:2025:2TC7Y2KLTJPG5XRKIHMFHI3WZY

not attested not anchored not stored refs pending

How to Count States in Gravity

Tom Yildirim, Vijay Balasubramanian

arxiv:2506.15767 v1 · 2025-06-18 · hep-th · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TC7Y2KLTJPG5XRKIHMFHI3WZY}

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.

Cited by

5 papers in Pith

Quantum corrected black hole microstates and entropy

Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity

Menagerie of Euclidean constructions for 3D holographic cosmologies

How to have your wormholes and factorize, too

State counting in gravity and maximal entropy principle

Receipt and verification

First computed	2026-07-05T11:23:51.854933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c5fc694b9a5e6ede2a41d853a376ce3a8b1860e8024fbf9d9c139f2f3f8edc

Aliases

arxiv: 2506.15767 · arxiv_version: 2506.15767v1 · doi: 10.48550/arxiv.2506.15767 · pith_short_12: 2TC7Y2KLTJPG · pith_short_16: 2TC7Y2KLTJPG5XRK · pith_short_8: 2TC7Y2KL

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/2TC7Y2KLTJPG5XRKIHMFHI3WZY \
  | 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: d4c5fc694b9a5e6ede2a41d853a376ce3a8b1860e8024fbf9d9c139f2f3f8edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741a3a6a13bbac1d1b890dc33ea4cad34fb70517e8957b83b366d8fb069705e9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-18T18:00:00Z",
    "title_canon_sha256": "d6d926665c1fd4431ca96b03e507e6fa825442c329e9a9a8f6408d811e1ee06e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15767",
    "kind": "arxiv",
    "version": 1
  }
}