Pith Number

pith:VFMVJEUN

pith:2012:VFMVJEUNYRGEJV7BEEC77RMUOG

not attested not anchored not stored refs pending

Observational Constraints of Modified Chaplygin Gas in Loop Quantum Cosmology

Chayan Ranjit, Shuvendu Chakraborty, Ujjal Debnath

arxiv:1206.0507 v2 · 2012-06-04 · physics.gen-ph · astro-ph.CO · 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{VFMVJEUNYRGEJV7BEEC77RMUOG}

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	2026-05-18T01:57:08.366160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95954928dc44c44d7e12105ffc59471abc5e68be1f468ff56dc6f0201d19d46

Aliases

arxiv: 1206.0507 · arxiv_version: 1206.0507v2 · doi: 10.48550/arxiv.1206.0507 · pith_short_12: VFMVJEUNYRGE · pith_short_16: VFMVJEUNYRGEJV7B · pith_short_8: VFMVJEUN

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/VFMVJEUNYRGEJV7BEEC77RMUOG \
  | 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: a95954928dc44c44d7e12105ffc59471abc5e68be1f468ff56dc6f0201d19d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462f04dd760e53ce1af047aa656949631edd815499d8ef2ae58b25cc89543f8e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-06-04T01:45:54Z",
    "title_canon_sha256": "9812f9e3f5dc523aaef25b2b4406053119fe14772accd89a42d1b3dad909a37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0507",
    "kind": "arxiv",
    "version": 2
  }
}