Pith Number

pith:2LLGFT7W

pith:2014:2LLGFT7WHKHKQWY5Z25VEHH4DN

not attested not anchored not stored refs pending

Jerusalem Lectures on Black Holes and Quantum Information

Daniel Harlow

arxiv:1409.1231 v5 · 2014-09-03 · 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{2LLGFT7WHKHKQWY5Z25VEHH4DN}

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

12 papers in Pith

The entropy of black hole under second-order deviation from equilibrium

q-Askey Deformations of Double-Scaled SYK

The entropy of black hole under second-order deviation from equilibrium

UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

Receipt and verification

First computed	2026-07-05T03:56:26.077624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d662cff63a8ea85b1dcebb521cfc1b672a53f5725f3ceed52691f220305262

Aliases

arxiv: 1409.1231 · arxiv_version: 1409.1231v5 · doi: 10.48550/arxiv.1409.1231 · pith_short_12: 2LLGFT7WHKHK · pith_short_16: 2LLGFT7WHKHKQWY5 · pith_short_8: 2LLGFT7W

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/2LLGFT7WHKHKQWY5Z25VEHH4DN \
  | 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: d2d662cff63a8ea85b1dcebb521cfc1b672a53f5725f3ceed52691f220305262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c9b684823e00316d74fe8a331661c20a61cea55c970fb3187e4cdb2659fd45",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-09-03T20:00:13Z",
    "title_canon_sha256": "13f1ceb1cf29815c462d561d5741c04819e56b89eef76eda9a916ca8e5a5600b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1231",
    "kind": "arxiv",
    "version": 5
  }
}