Pith Number

pith:ZHF54EA6

pith:2018:ZHF54EA6KROZ5RRA44YEHX4L6L

not attested not anchored not stored refs pending

Three Lectures on Complexity and Black Holes

Leonard Susskind

arxiv:1810.11563 v1 · 2018-10-27 · 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{ZHF54EA6KROZ5RRA44YEHX4L6L}

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

Holographic entanglement entropy and complexity for the cosmological braneworld model

Receipt and verification

First computed	2026-05-18T00:02:08.233962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cbde101e545d9ec620e73043df8bf2de309f541ab46103e9b6d93d66fc494f

Aliases

arxiv: 1810.11563 · arxiv_version: 1810.11563v1 · doi: 10.48550/arxiv.1810.11563 · pith_short_12: ZHF54EA6KROZ · pith_short_16: ZHF54EA6KROZ5RRA · pith_short_8: ZHF54EA6

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/ZHF54EA6KROZ5RRA44YEHX4L6L \
  | 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: c9cbde101e545d9ec620e73043df8bf2de309f541ab46103e9b6d93d66fc494f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7451d5b839139722baad647d0b4d84fd8ded9f9e591df07b79d5b4ce27143c5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-10-27T00:18:27Z",
    "title_canon_sha256": "b2f7d0e6507f426a509375b531782ec8ef4a970c587e910b5355f19d9e283762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11563",
    "kind": "arxiv",
    "version": 1
  }
}