Pith Number

pith:X2KWZEO6

pith:2011:X2KWZEO67QAX7WI6BLOJY4SZ35

not attested not anchored not stored refs pending

Perturbation Theory of the Cosmological Log-Density Field

Alex Szalay, Antonio Riotto, Istv\'an Szapudi, Julien Lesgourgues, Mark Neyrinck, Martin Sloth, Xin Wang, Xuelei Chen

arxiv:1103.2166 v2 · 2011-03-10 · astro-ph.CO · 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{X2KWZEO67QAX7WI6BLOJY4SZ35}

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	2026-05-18T02:22:30.513486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be956c91defc017fd91e0adc9c7259df67a23938afcc56e303386b6e9d465462

Aliases

arxiv: 1103.2166 · arxiv_version: 1103.2166v2 · doi: 10.48550/arxiv.1103.2166 · pith_short_12: X2KWZEO67QAX · pith_short_16: X2KWZEO67QAX7WI6 · pith_short_8: X2KWZEO6

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/X2KWZEO67QAX7WI6BLOJY4SZ35 \
  | 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: be956c91defc017fd91e0adc9c7259df67a23938afcc56e303386b6e9d465462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c2283a936894dcd5660b5fcde1262ee0c1f51a69292ba6dd29984b3cccd6ed",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-03-10T23:25:31Z",
    "title_canon_sha256": "7cd17c3111526d433825ec71d5f75d1bec60e7db90adbf0b57642b83e6c62d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2166",
    "kind": "arxiv",
    "version": 2
  }
}