Pith Number

pith:SD7DFP7O

pith:2012:SD7DFP7OQC3N2BD4K7TIQVMZOZ

not attested not anchored not stored refs pending

Archimedean-type force in a cosmic dark fluid: III. Big Rip, Little Rip and Cyclic solutions

Alexander B. Balakin, Vladimir V. Bochkarev

arxiv:1212.4094 v1 · 2012-12-17 · 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{SD7DFP7OQC3N2BD4K7TIQVMZOZ}

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	2026-05-18T03:37:19.864414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90fe32bfee80b6dd047c57e6885599765a0683e89122937fdb2dbfdcce5a22f8

Aliases

arxiv: 1212.4094 · arxiv_version: 1212.4094v1 · doi: 10.48550/arxiv.1212.4094 · pith_short_12: SD7DFP7OQC3N · pith_short_16: SD7DFP7OQC3N2BD4 · pith_short_8: SD7DFP7O

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/SD7DFP7OQC3N2BD4K7TIQVMZOZ \
  | 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: 90fe32bfee80b6dd047c57e6885599765a0683e89122937fdb2dbfdcce5a22f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ebea6f8b81a7dca094e498d19b3ed41480c2a380e1a49cc77759934ca659df",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-17T18:35:09Z",
    "title_canon_sha256": "0786fc506f5a1b588d5fe9f8e5b5483e69836a981adb3f53ae145e129592826b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4094",
    "kind": "arxiv",
    "version": 1
  }
}