pith. sign in
Pith Number

pith:IKA3ZX57

pith:2012:IKA3ZX57ZTM2PUG4MSRILYZ7N5
not attested not anchored not stored refs pending

Trans-Planckian Issues for Inflationary Cosmology

Jerome Martin, Robert Brandenberger

arxiv:1211.6753 v1 · 2012-11-28 · astro-ph.CO · gr-qc · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IKA3ZX57ZTM2PUG4MSRILYZ7N5}

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

5 papers in Pith

Receipt and verification
First computed 2026-05-18T01:52:53.570525Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4281bcdfbfccd9a7d0dc64a285e33f6f600fa979e0820220f678591aa43ea475

Aliases

arxiv: 1211.6753 · arxiv_version: 1211.6753v1 · doi: 10.48550/arxiv.1211.6753 · pith_short_12: IKA3ZX57ZTM2 · pith_short_16: IKA3ZX57ZTM2PUG4 · pith_short_8: IKA3ZX57
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IKA3ZX57ZTM2PUG4MSRILYZ7N5 \
  | 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: 4281bcdfbfccd9a7d0dc64a285e33f6f600fa979e0820220f678591aa43ea475
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9a8f995f20c1a80782bc982f459a5324483180b8a5b15269edd674d47953b013",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-11-28T21:09:45Z",
    "title_canon_sha256": "2d7ba74579353e951da49a591fc477531679e2f6b5369a84cd55611fe1595bb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6753",
    "kind": "arxiv",
    "version": 1
  }
}