Pith Number

pith:2XMJWCCS

pith:2011:2XMJWCCS52TO46SYICLJC76S7A

not attested not anchored not stored refs pending

The Einstein-Vlasov System/Kinetic Theory

H{\aa}kan Andr\'easson

arxiv:1106.1367 v1 · 2011-06-07 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XMJWCCS52TO46SYICLJC76S7A}

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	2026-05-18T02:01:41.234173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d89b0852eea6ee7a584096917fd2f82ecd13035c862558b944924132c43fdb

Aliases

arxiv: 1106.1367 · arxiv_version: 1106.1367v1 · doi: 10.48550/arxiv.1106.1367 · pith_short_12: 2XMJWCCS52TO · pith_short_16: 2XMJWCCS52TO46SY · pith_short_8: 2XMJWCCS

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/2XMJWCCS52TO46SYICLJC76S7A \
  | 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: d5d89b0852eea6ee7a584096917fd2f82ecd13035c862558b944924132c43fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f84ba26e4295115ccdeb1d70a6b2c933a589456d0ae8ab4237032c971e37b037",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-07T14:53:36Z",
    "title_canon_sha256": "4af41e716c0b49bbab1650e31f58de97dec527066fe93aefa567f9b543cafa73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1367",
    "kind": "arxiv",
    "version": 1
  }
}