Pith Number

pith:PNUQMEMR

pith:2016:PNUQMEMRZPM4DDLN3FFZFOHRIW

not attested not anchored not stored refs pending

The eras of radiation, matter, and dark energy: new information from the Planck Collaboration

Kevin Cahill

arxiv:1606.08865 v2 · 2016-06-22 · physics.pop-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNUQMEMRZPM4DDLN3FFZFOHRIW}

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	2026-05-18T00:51:48.367128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b69061191cbd9c18d6dd94b92b8f14597dc8c8b7fed1ca38cbe9b008e5637ed

Aliases

arxiv: 1606.08865 · arxiv_version: 1606.08865v2 · doi: 10.48550/arxiv.1606.08865 · pith_short_12: PNUQMEMRZPM4 · pith_short_16: PNUQMEMRZPM4DDLN · pith_short_8: PNUQMEMR

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/PNUQMEMRZPM4DDLN3FFZFOHRIW \
  | 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: 7b69061191cbd9c18d6dd94b92b8f14597dc8c8b7fed1ca38cbe9b008e5637ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27734462fafad66fc2d47e0672735c68569e6c222d5b0eb204502d4ff65e1a32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.pop-ph",
    "submitted_at": "2016-06-22T07:07:06Z",
    "title_canon_sha256": "15af26871a2000890611cfb5756bae51d57303330a7c1a93155112ba78435220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08865",
    "kind": "arxiv",
    "version": 2
  }
}