Pith Number

pith:4JRC67Y2

pith:2015:4JRC67Y2IFKKF5JCAIJTCBXGVT

not attested not anchored not stored refs pending

Implications of Planck2015 for inflationary, ekpyrotic and anamorphic bouncing cosmologies

Anna Ijjas, Paul J. Steinhardt

arxiv:1512.09010 v1 · 2015-12-30 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JRC67Y2IFKKF5JCAIJTCBXGVT}

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.

Cited by

1 paper in Pith

Planck 2018 results. VI. Cosmological parameters

Receipt and verification

First computed	2026-05-18T01:21:44.293447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2622f7f1a4154a2f52202133106e6accfe0b34d0f4003d787866d3121694d35

Aliases

arxiv: 1512.09010 · arxiv_version: 1512.09010v1 · doi: 10.48550/arxiv.1512.09010 · pith_short_12: 4JRC67Y2IFKK · pith_short_16: 4JRC67Y2IFKKF5JC · pith_short_8: 4JRC67Y2

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/4JRC67Y2IFKKF5JCAIJTCBXGVT \
  | 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: e2622f7f1a4154a2f52202133106e6accfe0b34d0f4003d787866d3121694d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d4b5c64d87020ddad3694d587ca4199c8603b242a90ce97a3d903b7f19f2887",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-30T16:51:00Z",
    "title_canon_sha256": "9cb632f4b613a63ac33d5232ad4272ab5a889ca5f34fa908a89f0e8c075a33f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09010",
    "kind": "arxiv",
    "version": 1
  }
}