Pith Number

pith:KS7LCWOS

pith:1996:KS7LCWOSDIOP4GYFWBPYJTPA2R

not attested not anchored not stored refs pending

Interpolating the Stage of Exponential Expansion in the Early Universe: a possible alternative with no reheating

Arjun Berera

arxiv:hep-ph/9612239 v2 · 1996-12-03 · hep-ph · astro-ph · 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{KS7LCWOSDIOP4GYFWBPYJTPA2R}

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	2026-07-04T16:02:00.885644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54beb159d21a1cfe1b05b05f84cde0d4523aa92a089da2aaa7a5ce7c8f21f9ba

Aliases

arxiv: hep-ph/9612239 · arxiv_version: hep-ph/9612239v2 · doi: 10.48550/arxiv.hep-ph/9612239 · pith_short_12: KS7LCWOSDIOP · pith_short_16: KS7LCWOSDIOP4GYF · pith_short_8: KS7LCWOS

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/KS7LCWOSDIOP4GYFWBPYJTPA2R \
  | 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: 54beb159d21a1cfe1b05b05f84cde0d4523aa92a089da2aaa7a5ce7c8f21f9ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505445df47a18b9cdefdc54127e30f91fdaf0f0ee60063aca093f34aeb53a6d1",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1996-12-03T15:47:09Z",
    "title_canon_sha256": "e2e56c292708d8f9eae19d18b85c523253126aec6172f34fed263cb902e036bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9612239",
    "kind": "arxiv",
    "version": 2
  }
}