Pith Number

pith:PNF4ANIL

pith:2013:PNF4ANILCO2EWPXVZQICYW5523

not attested not anchored not stored refs pending

The evolution of the power law k-essence cosmology

Bohai Chen, Jingzhao Qi, Jun Li, Rong-Jia Yang

arxiv:1311.5307 v3 · 2013-11-21 · 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{PNF4ANILCO2EWPXVZQICYW5523}

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	2026-05-18T02:20:47.646139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b4bc0350b13b44b3ef5cc102c5bbdd6fddd1638362edb438b14d46409bfe91d

Aliases

arxiv: 1311.5307 · arxiv_version: 1311.5307v3 · doi: 10.48550/arxiv.1311.5307 · pith_short_12: PNF4ANILCO2E · pith_short_16: PNF4ANILCO2EWPXV · pith_short_8: PNF4ANIL

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/PNF4ANILCO2EWPXVZQICYW5523 \
  | 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: 7b4bc0350b13b44b3ef5cc102c5bbdd6fddd1638362edb438b14d46409bfe91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a31066f2c0ae8a303eb30d6311f8aaa020f4e296cf0323131ad15cea6fd0e1b",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-21T03:54:30Z",
    "title_canon_sha256": "ec2c317b1b98b22caf5cfb98097c9e3771ce1c7456d68dd3ed0b8af0d82f883d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5307",
    "kind": "arxiv",
    "version": 3
  }
}