Pith Number

pith:DRW2HLYZ

pith:2011:DRW2HLYZDUVF2YNOVAPQAFSMKQ

not attested not anchored not stored refs pending

Large pre-inflationary thermal density perturbations

Richard Lieu, T.W.B. Kibble

arxiv:1110.1172 v2 · 2011-10-06 · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRW2HLYZDUVF2YNOVAPQAFSMKQ}

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	2026-05-18T03:17:44.819281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c6da3af191d2a5d61aea81f00164c54353dfcf6a77cfdc1a86dad0d39acc25a

Aliases

arxiv: 1110.1172 · arxiv_version: 1110.1172v2 · doi: 10.48550/arxiv.1110.1172 · pith_short_12: DRW2HLYZDUVF · pith_short_16: DRW2HLYZDUVF2YNO · pith_short_8: DRW2HLYZ

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/DRW2HLYZDUVF2YNOVAPQAFSMKQ \
  | 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: 1c6da3af191d2a5d61aea81f00164c54353dfcf6a77cfdc1a86dad0d39acc25a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf348e448ac8244089730e294e755cfbdfdcd430eb0c5052637018590214743",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-06T08:00:01Z",
    "title_canon_sha256": "0110583cd6bba52fdcb39e608b0c30077f98e98adb2378f6ddf681885c4f6091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1172",
    "kind": "arxiv",
    "version": 2
  }
}