Pith Number

pith:42DYWC7T

pith:2014:42DYWC7TWTGVYXAPKP3ILVXEPD

not attested not anchored not stored refs pending

Regularization of the big bang singularity with a time varying equation of state $w > 1$

BingKan Xue, Edward Belbruno

arxiv:1403.2122 v2 · 2014-03-10 · gr-qc · astro-ph.CO · hep-th · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42DYWC7TWTGVYXAPKP3ILVXEPD}

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	2026-05-18T02:19:06.131569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6878b0bf3b4cd5c5c0f53f685d6e478da067f87e652afe6b7ce9c376b0d6417

Aliases

arxiv: 1403.2122 · arxiv_version: 1403.2122v2 · doi: 10.48550/arxiv.1403.2122 · pith_short_12: 42DYWC7TWTGV · pith_short_16: 42DYWC7TWTGVYXAP · pith_short_8: 42DYWC7T

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/42DYWC7TWTGVYXAPKP3ILVXEPD \
  | 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: e6878b0bf3b4cd5c5c0f53f685d6e478da067f87e652afe6b7ce9c376b0d6417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ac38b5f916a3fb6edfb6c77c321746d2c30d4ec22d2ca0b00200ff189607d3",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-03-10T01:25:55Z",
    "title_canon_sha256": "2e7a3894cb6e0acfa3fa7d9f99af7ca27b9351eb34a97df96d43c191e0fc4e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2122",
    "kind": "arxiv",
    "version": 2
  }
}