Pith Number

pith:GN6JCTP6

pith:2022:GN6JCTP6ZGCETMK55ZAO4FVIKH

not attested not anchored not stored refs pending

GGI Lectures on Entropy, Operator Algebras and Black Holes

Stefan Hollands

arxiv:2209.05132 v3 · 2022-09-12 · 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{GN6JCTP6ZGCETMK55ZAO4FVIKH}

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

Geometric modular flows in 2d CFT and beyond

Receipt and verification

First computed	2026-07-05T10:25:57.661422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

337c914dfec98449b15dee40ee16a851e6d540745aea0f15cd5829ce6f051542

Aliases

arxiv: 2209.05132 · arxiv_version: 2209.05132v3 · doi: 10.48550/arxiv.2209.05132 · pith_short_12: GN6JCTP6ZGCE · pith_short_16: GN6JCTP6ZGCETMK5 · pith_short_8: GN6JCTP6

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/GN6JCTP6ZGCETMK55ZAO4FVIKH \
  | 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: 337c914dfec98449b15dee40ee16a851e6d540745aea0f15cd5829ce6f051542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562455256947e0e5648bf1ca938cd4d9ecbc179ab09d3507efc226d7d143e6b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-09-12T10:36:10Z",
    "title_canon_sha256": "ee4cc27fc684edccb340427e22463a2251541d2f1277d53dca42d66583a8536b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05132",
    "kind": "arxiv",
    "version": 3
  }
}