Pith Number

pith:ZX4UXYSG

pith:2007:ZX4UXYSGSBG6ATNGJ3TWBDBBLT

not attested not anchored not stored refs pending

Cosmological Perturbations in Non-Commutative Inflation

Robert H. Brandenberger, Seoktae Koh

arxiv:hep-th/0702217 v1 · 2007-02-27 · hep-th · astro-ph · gr-qc · 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{ZX4UXYSGSBG6ATNGJ3TWBDBBLT}

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	2026-05-18T04:38:38.024827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf94be246904de04da64ee7608c215cf23cdbf7ce92d8b97d2ed6aca2f89eed

Aliases

arxiv: hep-th/0702217 · arxiv_version: hep-th/0702217v1 · doi: 10.48550/arxiv.hep-th/0702217 · pith_short_12: ZX4UXYSGSBG6 · pith_short_16: ZX4UXYSGSBG6ATNG · pith_short_8: ZX4UXYSG

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/ZX4UXYSGSBG6ATNGJ3TWBDBBLT \
  | 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: cdf94be246904de04da64ee7608c215cf23cdbf7ce92d8b97d2ed6aca2f89eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a0d17e6c2058cabd0298f4166269859407883eb564fe976a4794179a63be53",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-02-27T21:03:19Z",
    "title_canon_sha256": "5ca8efb47114edd3aace55f51a7ac753b36a16ec7aaf655554bd476a03faa37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0702217",
    "kind": "arxiv",
    "version": 1
  }
}