Pith Number

pith:77HNW7C6

pith:2021:77HNW7C6EG7LPUYBQDLGAD57PR

not attested not anchored not stored refs pending

Fractional dark energy: phantom behavior and negative absolute temperature

Ricardo G. Landim

arxiv:2106.15415 v2 · 2021-06-28 · 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{77HNW7C6EG7LPUYBQDLGAD57PR}

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

Fractional entropy of the Brown-Kucha\v{r} dust in fractional anti-de Sitter quantum gravity

Receipt and verification

First computed	2026-07-05T04:06:15.349086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffcedb7c5e21beb7d30180d6600fbf7c49efc1eea08a6d8cd261b5848aeaf76c

Aliases

arxiv: 2106.15415 · arxiv_version: 2106.15415v2 · doi: 10.48550/arxiv.2106.15415 · pith_short_12: 77HNW7C6EG7L · pith_short_16: 77HNW7C6EG7LPUYB · pith_short_8: 77HNW7C6

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/77HNW7C6EG7LPUYBQDLGAD57PR \
  | 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: ffcedb7c5e21beb7d30180d6600fbf7c49efc1eea08a6d8cd261b5848aeaf76c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba49ac2b022f0e3e1433f11cd3a4e4265623c03435ef9a2c41b1ff7998bb9d7d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-28T14:39:59Z",
    "title_canon_sha256": "30874b7ba95d1263ef8fc896b193b18d34b604b3f6e9063f13e872f2a6e62f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15415",
    "kind": "arxiv",
    "version": 2
  }
}