Pith Number

pith:XDRDBMY6

pith:2011:XDRDBMY6XIO33Z5X5CPGYZE4LI

not attested not anchored not stored refs pending

Black Holes as Incompressible Fluids on the Sphere

Andrew Strominger, Irene Bredberg

arxiv:1106.3084 v1 · 2011-06-15 · hep-th · gr-qc · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDRDBMY6XIO33Z5X5CPGYZE4LI}

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

Timelike Liouville theory and AdS$_3$ gravity at finite cutoff

Receipt and verification

First computed	2026-05-18T02:01:36.635966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e230b31eba1dbde7b7e89e6c649c5a147b7271c5c31d85124154276b88a54d

Aliases

arxiv: 1106.3084 · arxiv_version: 1106.3084v1 · doi: 10.48550/arxiv.1106.3084 · pith_short_12: XDRDBMY6XIO3 · pith_short_16: XDRDBMY6XIO33Z5X · pith_short_8: XDRDBMY6

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/XDRDBMY6XIO33Z5X5CPGYZE4LI \
  | 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: b8e230b31eba1dbde7b7e89e6c649c5a147b7271c5c31d85124154276b88a54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1672b186e4a4d45adff4a2d549cfd36aa80c698d107a041f66b2fb645b84ec8b",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-15T20:01:53Z",
    "title_canon_sha256": "3a918e53bc0e6e7c723ce234c133156b3032555d8dab0f62468a0a22c270073f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3084",
    "kind": "arxiv",
    "version": 1
  }
}