Pith Number

pith:T6VFJVEV

pith:2025:T6VFJVEVZNH4GWXQ6TCHGTYHPM

not attested not anchored not stored refs pending

Hollow-grams: Generalized Entanglement Wedges from the Gravitational Path Integral

Kyle Ritchie, Pratik Rath, Sami Kaya

arxiv:2506.10064 v4 · 2025-06-11 · hep-th · gr-qc · quant-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{T6VFJVEVZNH4GWXQ6TCHGTYHPM}

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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

7 papers in Pith

Pure states for subregions in gravity and their entanglement entropy

Subregion observer rules from generalized entanglement wedges

Holography and Kinematic Space for Gravitational Sub-regions in AdS

Quantum State of a Gravitating Region

Living on the edge: a non-perturbative resolution to the negativity of bulk entropies

Receipt and verification

First computed	2026-07-05T11:59:15.712333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9faa54d495cb4fc35af0f4c4734f077b3ee889938468fde0983ed61256078d4e

Aliases

arxiv: 2506.10064 · arxiv_version: 2506.10064v4 · doi: 10.48550/arxiv.2506.10064 · pith_short_12: T6VFJVEVZNH4 · pith_short_16: T6VFJVEVZNH4GWXQ · pith_short_8: T6VFJVEV

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/T6VFJVEVZNH4GWXQ6TCHGTYHPM \
  | 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: 9faa54d495cb4fc35af0f4c4734f077b3ee889938468fde0983ed61256078d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a5c418e65d91ed82c91596ad0219dd46f16c79c1cd31d5fc178e98e2536a5c",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-11T18:00:00Z",
    "title_canon_sha256": "a1af8e088f81559fe9ecdc86f583bda4d124ebd2909b3e120e725318149ac2b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10064",
    "kind": "arxiv",
    "version": 4
  }
}