Pith Number

pith:OSHIR7AT

pith:2021:OSHIR7ATRRGIAXUWYY4QVTONC4

not attested not anchored not stored refs pending

The Markov gap for geometric reflected entropy

Jonathan Sorce, Onkar Parrikar, Patrick Hayden

arxiv:2107.00009 v3 · 2021-06-30 · 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{OSHIR7ATRRGIAXUWYY4QVTONC4}

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

11 papers in Pith

Phase transitions and uberholography of holographic pure-state geometries

The Entanglement Wedge Polygon

Complexity Inequalities for Quantum Subsystems

Multi-entropy in heavy local quenches

Complexity Inequalities for Quantum Subsystems

Receipt and verification

First computed	2026-07-05T03:21:33.328521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748e88fc138c4c805e96c6390acdcd1708ab9a2b40a799c2e38511dc1bba1872

Aliases

arxiv: 2107.00009 · arxiv_version: 2107.00009v3 · doi: 10.48550/arxiv.2107.00009 · pith_short_12: OSHIR7ATRRGI · pith_short_16: OSHIR7ATRRGIAXUW · pith_short_8: OSHIR7AT

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/OSHIR7ATRRGIAXUWYY4QVTONC4 \
  | 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: 748e88fc138c4c805e96c6390acdcd1708ab9a2b40a799c2e38511dc1bba1872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594da8121e50e3c395cee6cc4400c894fa8e3ca687ae173a36b4a7399459a322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-30T18:00:00Z",
    "title_canon_sha256": "d7e9fef87b3d87706cc7799e4b6a5ce67c8f464ea8700d3c9c342f35d070351e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00009",
    "kind": "arxiv",
    "version": 3
  }
}