Pith Number

pith:5QIQC555

pith:2018:5QIQC5554LJVOXD3PL7XC2PBFU

not attested not anchored not stored refs pending

Scrambling Time and Causal Structure of the Photon Sphere of a Schwarzschild Black Hole

Peter W. Shor

arxiv:1807.04363 v2 · 2018-07-11 · gr-qc · hep-th · 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{5QIQC5554LJVOXD3PL7XC2PBFU}

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

1 paper in Pith

The Speed of Quantum Information Spreading in Chaotic Systems

Receipt and verification

First computed	2026-05-18T00:10:36.669001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec110177bde2d3575c7b7aff7169e12d0aca958d671d185688e7503676b9f684

Aliases

arxiv: 1807.04363 · arxiv_version: 1807.04363v2 · doi: 10.48550/arxiv.1807.04363 · pith_short_12: 5QIQC5554LJV · pith_short_16: 5QIQC5554LJVOXD3 · pith_short_8: 5QIQC555

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/5QIQC5554LJVOXD3PL7XC2PBFU \
  | 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: ec110177bde2d3575c7b7aff7169e12d0aca958d671d185688e7503676b9f684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f0984d2855f4a366dc8b8575b82b44af998a250a8ea89a539933bbef68ee90b",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-07-11T21:58:27Z",
    "title_canon_sha256": "4663ab087fddda81ce3a58af22fd90332a89a66ff4966c1f7dcb82edafee8953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04363",
    "kind": "arxiv",
    "version": 2
  }
}