Pith Number

pith:4P4TEOPN

pith:2007:4P4TEOPNXJLKJIDWYVHJQXG2P5

not attested not anchored not stored refs pending

Scale-invariance in expanding and contracting universes from two-field models

Andrew J. Tolley, Daniel H. Wesley

arxiv:hep-th/0703101 v4 · 2007-03-09 · hep-th · astro-ph · 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{4P4TEOPNXJLKJIDWYVHJQXG2P5}

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

Probing the self-coherence of primordial quantum fluctuations with complexity

Receipt and verification

First computed	2026-05-18T04:38:37.829309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f93239edba56a4a076c54e985cda7f58873fb97faecb3d7e4ed6fdfa686fce

Aliases

arxiv: hep-th/0703101 · arxiv_version: hep-th/0703101v4 · doi: 10.48550/arxiv.hep-th/0703101 · pith_short_12: 4P4TEOPNXJLK · pith_short_16: 4P4TEOPNXJLKJIDW · pith_short_8: 4P4TEOPN

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/4P4TEOPNXJLKJIDWYVHJQXG2P5 \
  | 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: e3f93239edba56a4a076c54e985cda7f58873fb97faecb3d7e4ed6fdfa686fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bad6b73b228a1e692df0a7c9b21f674db2238443c00b262af8fc1f19ae891768",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-03-09T20:38:50Z",
    "title_canon_sha256": "44090ce683253722828a518ffc447ecb32edfef3aa93baaf8a39eb5bd2aa46f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0703101",
    "kind": "arxiv",
    "version": 4
  }
}