Pith Number

pith:LWIJU7YO

pith:2015:LWIJU7YOS7MA6I6JKCJDWT7MT7

not attested not anchored not stored refs pending

Inflation and reheating in theories with spontaneous scale invariance symmetry breaking

Luciano Vanzo, Massimiliano Rinaldi

arxiv:1512.07186 v4 · 2015-12-22 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWIJU7YOS7MA6I6JKCJDWT7MT7}

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	2026-05-18T01:11:13.044553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d909a7f0e97d80f23c950923b4fec9fe06b514d3551e8b6739c0987bdde7c3c

Aliases

arxiv: 1512.07186 · arxiv_version: 1512.07186v4 · doi: 10.48550/arxiv.1512.07186 · pith_short_12: LWIJU7YOS7MA · pith_short_16: LWIJU7YOS7MA6I6J · pith_short_8: LWIJU7YO

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/LWIJU7YOS7MA6I6JKCJDWT7MT7 \
  | 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: 5d909a7f0e97d80f23c950923b4fec9fe06b514d3551e8b6739c0987bdde7c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8553ef252bfd7d5b55c60b7fa5e7c17c1a3af1bd304542bbd1725a5267cbd6dd",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-22T18:13:00Z",
    "title_canon_sha256": "4ec47773062d1e1438b0d61bdfa66fa698357e2c39f917175cb4f37e0dd3271b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07186",
    "kind": "arxiv",
    "version": 4
  }
}