Pith Number

pith:7TJKD3NR

pith:2013:7TJKD3NRSYQJEUQL77XJUSP74G

not attested not anchored not stored refs pending

What if Planck's Universe isn't flat?

Marc Kamionkowski, Philip Bull

arxiv:1302.1617 v3 · 2013-02-06 · 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{7TJKD3NRSYQJEUQL77XJUSP74G}

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	2026-05-18T03:19:24.249469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd2a1edb1962092520bffee9a49ffe18228dd159e476eb0ea06c662ca8b8124

Aliases

arxiv: 1302.1617 · arxiv_version: 1302.1617v3 · doi: 10.48550/arxiv.1302.1617 · pith_short_12: 7TJKD3NRSYQJ · pith_short_16: 7TJKD3NRSYQJEUQL · pith_short_8: 7TJKD3NR

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/7TJKD3NRSYQJEUQL77XJUSP74G \
  | 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: fcd2a1edb1962092520bffee9a49ffe18228dd159e476eb0ea06c662ca8b8124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3e2b5a4d7b066eca9ca8591b4b8443640301a45c5e5c0daedddab451d49c81",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-02-06T23:44:30Z",
    "title_canon_sha256": "97059898947547c8dfe595fe5dbba14f07c58560e668427f1033393f3bcd29d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1617",
    "kind": "arxiv",
    "version": 3
  }
}