Pith Number

pith:CROJQY5F

pith:2009:CROJQY5FE75BNXQJYMPQ5ZEHFS

not attested not anchored not stored refs pending

Dark Energy and Dark Matter unification via superfluid Chaplygin gas

V. A. Popov

arxiv:0912.1609 v3 · 2009-12-08 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CROJQY5FE75BNXQJYMPQ5ZEHFS}

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	2026-05-18T04:21:30.086269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145c9863a527fa16de09c31f0ee4872cb1a0a9f24651ab4b695dc1f1708805a4

Aliases

arxiv: 0912.1609 · arxiv_version: 0912.1609v3 · doi: 10.48550/arxiv.0912.1609 · pith_short_12: CROJQY5FE75B · pith_short_16: CROJQY5FE75BNXQJ · pith_short_8: CROJQY5F

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/CROJQY5FE75BNXQJYMPQ5ZEHFS \
  | 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: 145c9863a527fa16de09c31f0ee4872cb1a0a9f24651ab4b695dc1f1708805a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f19c035738432afd87f9285c6ffcc764d31c319bd7c81d66e6abc630196e8d9",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-08T21:11:28Z",
    "title_canon_sha256": "4c0b8a136638a62320d2cfecd7c48ea494c72c8456a3bcc423ded4561417289d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1609",
    "kind": "arxiv",
    "version": 3
  }
}