Pith Number

pith:TCJUNSV6

pith:2014:TCJUNSV6FKZ23SNETLCID5RKCD

not attested not anchored not stored refs pending

The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature

Claudio Gomes, Orfeu Bertolami

arxiv:1406.5990 v1 · 2014-06-23 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCJUNSV6FKZ23SNETLCID5RKCD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:42:51.472713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989346cabe2ab3adc9a49ac481f62a10f8e5b19042c2862a509a8d36e58542aa

Aliases

arxiv: 1406.5990 · arxiv_version: 1406.5990v1 · doi: 10.48550/arxiv.1406.5990 · pith_short_12: TCJUNSV6FKZ2 · pith_short_16: TCJUNSV6FKZ23SNE · pith_short_8: TCJUNSV6

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/TCJUNSV6FKZ23SNETLCID5RKCD \
  | 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: 989346cabe2ab3adc9a49ac481f62a10f8e5b19042c2862a509a8d36e58542aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee11001e8b6a906f47f325981ab1c45429a22c39dd01727488233e8c9700c957",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-06-23T17:20:42Z",
    "title_canon_sha256": "942d07ece109773d09a83a821bc5aec74e673d6e3c254ab22957537abe61ec43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5990",
    "kind": "arxiv",
    "version": 1
  }
}