Pith Number

pith:55RZP3RB

pith:2012:55RZP3RBGD4L7GTGFDTDU7OE7R

not attested not anchored not stored refs pending

Inflation as a Solution to the Early Universe Entropy Problem

Pisin Chen, Po-Shen Hsin, Yuezhen Niu

arxiv:1212.1087 v3 · 2012-12-05 · astro-ph.CO · 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{55RZP3RBGD4L7GTGFDTDU7OE7R}

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	2026-05-18T01:20:59.601302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6397ee2130f8bf9a6628e63a7dc4fc79285042c1a8fb1202ae9b153c1046ea

Aliases

arxiv: 1212.1087 · arxiv_version: 1212.1087v3 · doi: 10.48550/arxiv.1212.1087 · pith_short_12: 55RZP3RBGD4L · pith_short_16: 55RZP3RBGD4L7GTG · pith_short_8: 55RZP3RB

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/55RZP3RBGD4L7GTGFDTDU7OE7R \
  | 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: ef6397ee2130f8bf9a6628e63a7dc4fc79285042c1a8fb1202ae9b153c1046ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d29f99166a72005fb4d5f83c794dfe6f7fed1201be686ffc3dfa795b81c26edf",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-05T16:24:07Z",
    "title_canon_sha256": "f75fdfabe628e1fd9e938a311e8b0dee5a96912fc7aa90dfe4de00c555488acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1087",
    "kind": "arxiv",
    "version": 3
  }
}