Pith Number

pith:NIRO7ZAL

pith:2013:NIRO7ZALUT2DXPRVGRVFJHC6HE

not attested not anchored not stored refs pending

Large-scale structure in superfluid Chaplygin gas cosmology

Rong-Jia Yang

arxiv:1312.2416 v3 · 2013-12-09 · 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{NIRO7ZALUT2DXPRVGRVFJHC6HE}

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	2026-05-18T02:54:46.667679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a22efe40ba4f43bbe35346a549c5e390c1bf7423c6c29798c50df0bcfef3c65

Aliases

arxiv: 1312.2416 · arxiv_version: 1312.2416v3 · doi: 10.48550/arxiv.1312.2416 · pith_short_12: NIRO7ZALUT2D · pith_short_16: NIRO7ZALUT2DXPRV · pith_short_8: NIRO7ZAL

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/NIRO7ZALUT2DXPRVGRVFJHC6HE \
  | 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: 6a22efe40ba4f43bbe35346a549c5e390c1bf7423c6c29798c50df0bcfef3c65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70e6d60718316c1aedd6c2ab687b6a46fd468afb663dfd6cbd79d618ac10ffab",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-09T13:03:37Z",
    "title_canon_sha256": "34c3d7a2d281d0f0793ceb3033be139b9690035f29018a2a908db9eb8842a25a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2416",
    "kind": "arxiv",
    "version": 3
  }
}