Pith Number

pith:R32XXLJJ

pith:2015:R32XXLJJKFCWKLSH4SVHBA6O6R

not attested not anchored not stored refs pending

The Halo Boltzmann Equation

Alex Kehagias, Antonio Riotto, Davide Racco, Matteo Biagetti, Vincent Desjacques

arxiv:1508.07330 v2 · 2015-08-28 · 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{R32XXLJJKFCWKLSH4SVHBA6O6R}

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	2026-05-18T01:16:34.946570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef57bad295145652e47e4aa7083cef455b91db4e2778e89376bf3f1cb4cbfd6

Aliases

arxiv: 1508.07330 · arxiv_version: 1508.07330v2 · doi: 10.48550/arxiv.1508.07330 · pith_short_12: R32XXLJJKFCW · pith_short_16: R32XXLJJKFCWKLSH · pith_short_8: R32XXLJJ

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/R32XXLJJKFCWKLSH4SVHBA6O6R \
  | 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: 8ef57bad295145652e47e4aa7083cef455b91db4e2778e89376bf3f1cb4cbfd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4a6c4ceccec60d6254c2df6544ee28e43d8e8355fdd32dcb8b256707d282c2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-08-28T20:06:01Z",
    "title_canon_sha256": "27b08185b9f247d3e636dd410a0dbe88bc28c258651729ab1c83e5258cfe0808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07330",
    "kind": "arxiv",
    "version": 2
  }
}