Pith Number

pith:QPILMBRC

pith:2016:QPILMBRC6RONOJKQHXNMKDYE5Z

not attested not anchored not stored refs pending

Cosmological solutions in spatially curved universes with adiabatic particle production

Jaume de Haro, Llibert Arest\'e Sal\'o

arxiv:1612.01272 v2 · 2016-12-05 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPILMBRC6RONOJKQHXNMKDYE5Z}

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	2026-05-18T00:48:59.588908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d0b60622f45cd725503ddac50f04ee7238851457601a7dbb3f64cb674fa2f0

Aliases

arxiv: 1612.01272 · arxiv_version: 1612.01272v2 · doi: 10.48550/arxiv.1612.01272 · pith_short_12: QPILMBRC6RON · pith_short_16: QPILMBRC6RONOJKQ · pith_short_8: QPILMBRC

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/QPILMBRC6RONOJKQHXNMKDYE5Z \
  | 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: 83d0b60622f45cd725503ddac50f04ee7238851457601a7dbb3f64cb674fa2f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50be46df559d638452feefcf2035ddbf29f92c75e19e31d2cfa21df2e92089a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-05T08:27:52Z",
    "title_canon_sha256": "9997f385b435bc012f58e36450a11a21cb7818068ae20080dcbe841a956073d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01272",
    "kind": "arxiv",
    "version": 2
  }
}