Pith Number

pith:72A3T5GU

pith:2005:72A3T5GU4D5NPGCOHNQUOPTGSI

not attested not anchored not stored refs pending

Intermediate inflation and the slow-roll approximation

Alan D. Rendall

arxiv:gr-qc/0501072 v2 · 2005-01-25 · 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{72A3T5GU4D5NPGCOHNQUOPTGSI}

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	2026-07-04T16:55:09.690271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe81b9f4d4e0fad7984e3b61473e66920a21d8387f9716730f35492dd84cfe13

Aliases

arxiv: gr-qc/0501072 · arxiv_version: gr-qc/0501072v2 · doi: 10.48550/arxiv.gr-qc/0501072 · pith_short_12: 72A3T5GU4D5N · pith_short_16: 72A3T5GU4D5NPGCO · pith_short_8: 72A3T5GU

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/72A3T5GU4D5NPGCOHNQUOPTGSI \
  | 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: fe81b9f4d4e0fad7984e3b61473e66920a21d8387f9716730f35492dd84cfe13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fbd32eddc2f2106789f8cd2c4b606d2efdb01edc28b27b1bf815aa597b03693",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-01-25T10:46:08Z",
    "title_canon_sha256": "32b6cfc5d993c0aa9758517e48b7157324cbf4bfcc18f1ee721f36bc74517675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0501072",
    "kind": "arxiv",
    "version": 2
  }
}