Pith Number

pith:52XU6XDX

pith:2015:52XU6XDXT7ILGZJ7IGP7U7I6MC

not attested not anchored not stored refs pending

Gravitational Tension, Spacetime Pressure and Black Hole Volume

Jay Armas, Marco Sanchioni, Niels A. Obers

arxiv:1512.09106 v3 · 2015-12-30 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52XU6XDXT7ILGZJ7IGP7U7I6MC}

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

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T01:03:36.708473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeaf4f5c779fd0b3653f419ffa7d1e60902b35472cc0eebaf4294c2d696ddd3c

Aliases

arxiv: 1512.09106 · arxiv_version: 1512.09106v3 · doi: 10.48550/arxiv.1512.09106 · pith_short_12: 52XU6XDXT7IL · pith_short_16: 52XU6XDXT7ILGZJ7 · pith_short_8: 52XU6XDX

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/52XU6XDXT7ILGZJ7IGP7U7I6MC \
  | 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: eeaf4f5c779fd0b3653f419ffa7d1e60902b35472cc0eebaf4294c2d696ddd3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e6f9492c02b7cd35be3988dac31715a03bf04d31674ff6a76065a58cea490f7",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-30T20:35:13Z",
    "title_canon_sha256": "e01689ee76dae58947b4208fce76e2782ea0407b6f565988226481e7212f673e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09106",
    "kind": "arxiv",
    "version": 3
  }
}