Pith Number

pith:NTPRY2GH

pith:2004:NTPRY2GHGY6ORT5NKMFNSE7AMI

not attested not anchored not stored refs pending

Mathematical properties of cosmological models with accelerated expansion

Alan D. Rendall

arxiv:gr-qc/0408053 v1 · 2004-08-17 · 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{NTPRY2GHGY6ORT5NKMFNSE7AMI}

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	2026-05-18T01:39:22.508911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cdf1c68c7363ce8cfad530ad913e0623080ce9b8f13c9f09f4e8f73de9ff929

Aliases

arxiv: gr-qc/0408053 · arxiv_version: gr-qc/0408053v1 · doi: 10.48550/arxiv.gr-qc/0408053 · pith_short_12: NTPRY2GHGY6O · pith_short_16: NTPRY2GHGY6ORT5N · pith_short_8: NTPRY2GH

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/NTPRY2GHGY6ORT5NKMFNSE7AMI \
  | 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: 6cdf1c68c7363ce8cfad530ad913e0623080ce9b8f13c9f09f4e8f73de9ff929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0a78fcb2831dfe054de2f2402a3af659c332a3968fd813d8a763d4de53f2e1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-08-17T12:08:47Z",
    "title_canon_sha256": "1189cb4d48f27a6ac80bde3e690e74f872fc54d3a430547421b14a54cc167f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0408053",
    "kind": "arxiv",
    "version": 1
  }
}