Pith Number

pith:SS663FQD

pith:2011:SS663FQDD4KBHHIQ263UTPSUVA

not attested not anchored not stored refs pending

Penrose's circles in the CMB and a test of inflation

Paul Tod

arxiv:1107.1421 v2 · 2011-07-07 · 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{SS663FQDD4KBHHIQ263UTPSUVA}

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	2026-05-18T03:43:27.405940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94bded96031f14139d10d7b749be54a81b71d7bea0a91fda0c633fe199e604f4

Aliases

arxiv: 1107.1421 · arxiv_version: 1107.1421v2 · doi: 10.48550/arxiv.1107.1421 · pith_short_12: SS663FQDD4KB · pith_short_16: SS663FQDD4KBHHIQ · pith_short_8: SS663FQD

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/SS663FQDD4KBHHIQ263UTPSUVA \
  | 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: 94bded96031f14139d10d7b749be54a81b71d7bea0a91fda0c633fe199e604f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bccf6f1cef04b1f03542b0029868a495e7e414fccd33de9f9dd28cede710d4c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-07T15:18:41Z",
    "title_canon_sha256": "3875314a197f2ebf614a5d98d6ea68f3e82d1233916a4d9602644d2d5b7e850c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1421",
    "kind": "arxiv",
    "version": 2
  }
}