Pith Number

pith:6ILRERCH

pith:2012:6ILRERCHIVX3DWBBGYPFLFGH5L

not attested not anchored not stored refs pending

The Boltzmann Equation from Quantum Field Theory

Christoph Weniger, Marco Drewes, Sebastian Mendizabal

arxiv:1202.1301 v2 · 2012-02-06 · hep-ph · astro-ph.CO · cond-mat.stat-mech · quant-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{6ILRERCHIVX3DWBBGYPFLFGH5L}

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

1 paper in Pith

Thermal effects on Dark Matter production during cosmic reheating

Receipt and verification

First computed	2026-05-18T03:38:12.661840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f217124447456fb1d821361e5594c7eaf82e317dbcf1560e5a70a040015d97bb

Aliases

arxiv: 1202.1301 · arxiv_version: 1202.1301v2 · doi: 10.48550/arxiv.1202.1301 · pith_short_12: 6ILRERCHIVX3 · pith_short_16: 6ILRERCHIVX3DWBB · pith_short_8: 6ILRERCH

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/6ILRERCHIVX3DWBBGYPFLFGH5L \
  | 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: f217124447456fb1d821361e5594c7eaf82e317dbcf1560e5a70a040015d97bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f371c25fd1d82a3a56295b7b5ca6424a362501a60be2b8bcb093d9e1fb0238c6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-02-06T21:42:12Z",
    "title_canon_sha256": "acb06b9f890b844275244dd67a08558f2238f86f032cde5a40f4dc34511f12e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1301",
    "kind": "arxiv",
    "version": 2
  }
}