Pith Number

pith:MFF3MAIT

pith:2015:MFF3MAIT5BIW4Z2BV7EWBWY3SV

not attested not anchored not stored refs pending

Dark energy and non-linear power spectrum

Jinn-Ouk Gong, Sang Gyu Biern

arxiv:1505.02972 v2 · 2015-05-12 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFF3MAIT5BIW4Z2BV7EWBWY3SV}

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	2026-05-18T01:37:44.228531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614bb60113e8516e6741afc960db1b955b1996100bc2bd991b86cdf5ea581ada

Aliases

arxiv: 1505.02972 · arxiv_version: 1505.02972v2 · doi: 10.48550/arxiv.1505.02972 · pith_short_12: MFF3MAIT5BIW · pith_short_16: MFF3MAIT5BIW4Z2B · pith_short_8: MFF3MAIT

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/MFF3MAIT5BIW4Z2BV7EWBWY3SV \
  | 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: 614bb60113e8516e6741afc960db1b955b1996100bc2bd991b86cdf5ea581ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49051dbfde5ee04c97800a379e74805425e9c3b01bd4e52bb3c16961162a0cea",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-05-12T11:54:38Z",
    "title_canon_sha256": "cf7f54963d82c2f81a1eaa3bc7f07e91f3b85106de7ece9d2d520e89e6629d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02972",
    "kind": "arxiv",
    "version": 2
  }
}