Pith Number

pith:PHPXYJ3U

pith:2011:PHPXYJ3UIRTDYJCSHITOY3B7KZ

not attested not anchored not stored refs pending

Probing the anisotropic expansion history of the universe with cosmic microwave background

Ajit M. Srivastava, P. S. Saumia, Ranjita K. Mohapatra

arxiv:1111.2722 v1 · 2011-11-11 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHPXYJ3UIRTDYJCSHITOY3B7KZ}

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	2026-05-18T01:59:40.234990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79df7c277444663c24523a26ec6c3f5676212defee224925d1d658b60bd50095

Aliases

arxiv: 1111.2722 · arxiv_version: 1111.2722v1 · doi: 10.48550/arxiv.1111.2722 · pith_short_12: PHPXYJ3UIRTD · pith_short_16: PHPXYJ3UIRTDYJCS · pith_short_8: PHPXYJ3U

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/PHPXYJ3UIRTDYJCSHITOY3B7KZ \
  | 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: 79df7c277444663c24523a26ec6c3f5676212defee224925d1d658b60bd50095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b22de79b023239c807be69f44a38129557332a994b67a098f0a5ab3f81d4d28",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-11T12:28:17Z",
    "title_canon_sha256": "c6e204e115be717e217fcbd2f398062a3bc90d46ea0384801364b6d6963182d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2722",
    "kind": "arxiv",
    "version": 1
  }
}