Pith Number

pith:CZQ5BZIF

pith:2016:CZQ5BZIFGXSMRIHVRN5BGKZJEL

not attested not anchored not stored refs pending

Entropy production, viscosity bounds and bumpy black holes

David M. Ramirez, Jorge E. Santos, Sean A. Hartnoll

arxiv:1601.02757 v2 · 2016-01-12 · 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{CZQ5BZIFGXSMRIHVRN5BGKZJEL}

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

Exact black holes and black branes with bumpy horizons supported by superfluid pions

Receipt and verification

First computed	2026-05-18T01:16:43.561221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1661d0e50535e4c8a0f58b7a132b2922e83569769bce405c89af3aa53a8dcf88

Aliases

arxiv: 1601.02757 · arxiv_version: 1601.02757v2 · doi: 10.48550/arxiv.1601.02757 · pith_short_12: CZQ5BZIFGXSM · pith_short_16: CZQ5BZIFGXSMRIHV · pith_short_8: CZQ5BZIF

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/CZQ5BZIFGXSMRIHVRN5BGKZJEL \
  | 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: 1661d0e50535e4c8a0f58b7a132b2922e83569769bce405c89af3aa53a8dcf88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d3c4787e40783150ff452dc2873684e1446b2f19d0d98645960652ab44b9eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-01-12T07:57:07Z",
    "title_canon_sha256": "7d37d21d25abfed2c5434c71794cfb0018b7bd18ee3620f75b64a8bfa8937b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02757",
    "kind": "arxiv",
    "version": 2
  }
}