Pith. sign in
Pith Number

pith:PRHHC7ZL

pith:2020:PRHHC7ZLQWLY5BLQPVJLLONHER
not attested not anchored not stored refs pending

Phase transitions in the early universe

Johannes Lumma, Mark B. Hindmarsh, Martin Pauly, Marvin L\"uben

arxiv:2008.09136 v4 · 2020-08-20 · astro-ph.CO · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PRHHC7ZLQWLY5BLQPVJLLONHER}

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.

Cited by

14 papers in Pith

Receipt and verification
First computed 2026-07-05T02:42:43.164265Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7c4e717f2b85978e85707d52b5b9a724422ab2874a07041b20facf906989983b

Aliases

arxiv: 2008.09136 · arxiv_version: 2008.09136v4 · doi: 10.48550/arxiv.2008.09136 · pith_short_12: PRHHC7ZLQWLY · pith_short_16: PRHHC7ZLQWLY5BLQ · pith_short_8: PRHHC7ZL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PRHHC7ZLQWLY5BLQPVJLLONHER \
  | 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: 7c4e717f2b85978e85707d52b5b9a724422ab2874a07041b20facf906989983b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8662a30f301c8a005f5a150c77fd26f6dccb0476087ae47abfb04ea37080e260",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-08-20T18:01:05Z",
    "title_canon_sha256": "524fbb4ece539b293446469bc88ed2b15bb9e7087869d540623265df876d3709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09136",
    "kind": "arxiv",
    "version": 4
  }
}