Pith Number

pith:WKO6SHXR

pith:2011:WKO6SHXRVRESL25PCLBQHN6FX2

not attested not anchored not stored refs pending

Scale Invariance via a Phase of Slow Expansion

Austin Joyce, Justin Khoury

arxiv:1104.4347 v1 · 2011-04-21 · hep-th · astro-ph.CO · hep-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{WKO6SHXRVRESL25PCLBQHN6FX2}

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	2026-05-18T04:16:11.782064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29de91ef1ac4925ebaf12c303b7c5beb6dd92759209f23014dc955d6f8e8767

Aliases

arxiv: 1104.4347 · arxiv_version: 1104.4347v1 · doi: 10.48550/arxiv.1104.4347 · pith_short_12: WKO6SHXRVRES · pith_short_16: WKO6SHXRVRESL25P · pith_short_8: WKO6SHXR

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/WKO6SHXRVRESL25PCLBQHN6FX2 \
  | 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: b29de91ef1ac4925ebaf12c303b7c5beb6dd92759209f23014dc955d6f8e8767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fca9c7866a59251bd89583528f6866644da060722276ceabe5b3ff2167f83a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-21T20:00:00Z",
    "title_canon_sha256": "0f33b3827bb6f80f62ece478eb89584ecc8894622f03d667f2b186c25f211f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4347",
    "kind": "arxiv",
    "version": 1
  }
}