Pith Number

pith:VUIDDO3B

pith:2012:VUIDDO3BXV2XINQUKJK6HGJQVM

not attested not anchored not stored refs pending

Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter

K. R. Yesmakhanova, M. Sharif, R. Myrzakulov, S. Rani

arxiv:1204.2181 v2 · 2012-04-08 · physics.gen-ph · 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{VUIDDO3BXV2XINQUKJK6HGJQVM}

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	2026-05-18T03:49:57.994586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1031bb61bd757436145255e39930ab08eb5c037143fd11d7e08bdde4c90d23

Aliases

arxiv: 1204.2181 · arxiv_version: 1204.2181v2 · doi: 10.48550/arxiv.1204.2181 · pith_short_12: VUIDDO3BXV2X · pith_short_16: VUIDDO3BXV2XINQU · pith_short_8: VUIDDO3B

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/VUIDDO3BXV2XINQUKJK6HGJQVM \
  | 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: ad1031bb61bd757436145255e39930ab08eb5c037143fd11d7e08bdde4c90d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09f1ef52494b366945848d8e2b2e1907155232aa3a6a551648dc129349bcb526",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-04-08T07:33:08Z",
    "title_canon_sha256": "a025f0a445be9dfed9c462943d007614dfe623d48d9885b840e9a2308781db58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2181",
    "kind": "arxiv",
    "version": 2
  }
}