Pith Number

pith:BJ6XUUUZ

pith:2015:BJ6XUUUZLEI2CKZN7AN2BKL2L3

not attested not anchored not stored refs pending

Thermodynamical aspects of running vacuum models

J. A. S. Lima, Joan Sol\`a, Spyros Basilakos

arxiv:1509.00163 v4 · 2015-09-01 · gr-qc · astro-ph.CO · hep-ph · 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{BJ6XUUUZLEI2CKZN7AN2BKL2L3}

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.

Receipt and verification

First computed	2026-05-18T01:16:07.099799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a7d7a52995911a12b2df81ba0a97a5ed029d86cd43c0e2e988d9ad196d0c542

Aliases

arxiv: 1509.00163 · arxiv_version: 1509.00163v4 · doi: 10.48550/arxiv.1509.00163 · pith_short_12: BJ6XUUUZLEI2 · pith_short_16: BJ6XUUUZLEI2CKZN · pith_short_8: BJ6XUUUZ

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/BJ6XUUUZLEI2CKZN7AN2BKL2L3 \
  | 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: 0a7d7a52995911a12b2df81ba0a97a5ed029d86cd43c0e2e988d9ad196d0c542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13ba2c8a78d6aae067229eceb49a58f39cd22b6a62e9d98205109b248109d40",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-01T07:30:11Z",
    "title_canon_sha256": "958f3c92277770b11dba994d3d609b3cdaacb7e8979bbb11b1d9312773bbdbe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00163",
    "kind": "arxiv",
    "version": 4
  }
}