Pith Number

pith:PJ3IL3U3

pith:2021:PJ3IL3U33YKNJQLMF5UCL4HDIH

not attested not anchored not stored refs pending

Power-law holographic dark energy and cosmology

Eirini C. Telali, Emmanuel N. Saridakis

arxiv:2112.06821 v2 · 2021-12-13 · gr-qc · astro-ph.CO · 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{PJ3IL3U33YKNJQLMF5UCL4HDIH}

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	2026-07-05T04:25:50.688797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7685ee9bde14d4c16c2f6825f0e341e57216ae478132ad3113fe3e90f728f4

Aliases

arxiv: 2112.06821 · arxiv_version: 2112.06821v2 · doi: 10.48550/arxiv.2112.06821 · pith_short_12: PJ3IL3U33YKN · pith_short_16: PJ3IL3U33YKNJQLM · pith_short_8: PJ3IL3U3

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/PJ3IL3U33YKNJQLMF5UCL4HDIH \
  | 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: 7a7685ee9bde14d4c16c2f6825f0e341e57216ae478132ad3113fe3e90f728f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff659641bb7d822d58969fdf0357bdfca0d9fa68bcbd906e81685c851a69cbc",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-13T17:33:30Z",
    "title_canon_sha256": "66195a4d712c73beea15e9061072bcd77baa37ce0b89a510ddc5aea30c8df14f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06821",
    "kind": "arxiv",
    "version": 2
  }
}