Pith Number

pith:NCWL2TML

pith:2013:NCWL2TMLRG5QAFCMTHHRZ3TJBP

not attested not anchored not stored refs pending

Generalized Layzer-Irvine equation: the role of dark energy perturbations in cosmic structure formation

C. F. V. Gomes, P. P. Avelino

arxiv:1305.6064 v1 · 2013-05-26 · 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{NCWL2TMLRG5QAFCMTHHRZ3TJBP}

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	2026-05-18T01:49:41.351841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68acbd4d8b89bb00144c99cf1cee690bf3581432e257d1c3a7bbb4392e656830

Aliases

arxiv: 1305.6064 · arxiv_version: 1305.6064v1 · doi: 10.48550/arxiv.1305.6064 · pith_short_12: NCWL2TMLRG5Q · pith_short_16: NCWL2TMLRG5QAFCM · pith_short_8: NCWL2TML

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/NCWL2TMLRG5QAFCMTHHRZ3TJBP \
  | 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: 68acbd4d8b89bb00144c99cf1cee690bf3581432e257d1c3a7bbb4392e656830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac1f446e8f3a9f4bc5f63cd531624aa317568c03bcd1f8475b288a10b896834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-05-26T19:59:41Z",
    "title_canon_sha256": "4ae7a6285957b1fb2555cddf846fa1291cf41fe711f5b1a99cc56dbfde0da4b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6064",
    "kind": "arxiv",
    "version": 1
  }
}