Pith Number

pith:PQIHN7TZ

pith:2011:PQIHN7TZ4ZVWRFRNUOLMZGZSRJ

not attested not anchored not stored refs pending

Preheating a bouncing universe

Robert Brandenberger, Xinmin Zhang, Yi-Fu Cai

arxiv:1105.4286 v1 · 2011-05-21 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQIHN7TZ4ZVWRFRNUOLMZGZSRJ}

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

1 paper in Pith

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Receipt and verification

First computed	2026-05-18T02:21:50.265672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1076fe79e66b68962da396cc9b328a51d695a600eae85db007e4d7d6121d5d

Aliases

arxiv: 1105.4286 · arxiv_version: 1105.4286v1 · doi: 10.48550/arxiv.1105.4286 · pith_short_12: PQIHN7TZ4ZVW · pith_short_16: PQIHN7TZ4ZVWRFRN · pith_short_8: PQIHN7TZ

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/PQIHN7TZ4ZVWRFRNUOLMZGZSRJ \
  | 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: 7c1076fe79e66b68962da396cc9b328a51d695a600eae85db007e4d7d6121d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0035f0dc1a9586c66d46213fffff3708c074c562df02449312c1d42691d318",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-05-21T20:04:01Z",
    "title_canon_sha256": "c3c577efb3c2d9396648b5de92038d163e4e94c20784e7a63016bd5d37a54639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4286",
    "kind": "arxiv",
    "version": 1
  }
}