Pith Number

pith:QWMWYM7Q

pith:2011:QWMWYM7QGSRX5PODRRPPR73EHB

not attested not anchored not stored refs pending

Flavoured quantum Boltzmann equations from cQPA

Christian Fidler, Kimmo Kainulainen, Matti Herranen, Pyry Matti Rahkila

arxiv:1108.2309 v2 · 2011-08-10 · hep-ph · 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{QWMWYM7QGSRX5PODRRPPR73EHB}

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	2026-05-18T02:00:55.396767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85996c33f034a37ebdc38c5ef8ff64384ebcfceb6d5ed84dbcaa9817ec76c35d

Aliases

arxiv: 1108.2309 · arxiv_version: 1108.2309v2 · doi: 10.48550/arxiv.1108.2309 · pith_short_12: QWMWYM7QGSRX · pith_short_16: QWMWYM7QGSRX5POD · pith_short_8: QWMWYM7Q

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/QWMWYM7QGSRX5PODRRPPR73EHB \
  | 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: 85996c33f034a37ebdc38c5ef8ff64384ebcfceb6d5ed84dbcaa9817ec76c35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c90b14a44fe8f0314bae6c7d51d52961a6e60119ade5a09d043ab628766940",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-10T23:58:38Z",
    "title_canon_sha256": "2c9fc7ab54be8589c32d17edcae038bf158b73d26ec162ae686705745877be74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2309",
    "kind": "arxiv",
    "version": 2
  }
}