Pith Number

pith:QWQB2UCZ

pith:2026:QWQB2UCZ4TB2AAHZK7KKXSBZM6

not attested not anchored not stored refs pending

Future global stability of Maxwell-J\"uttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes

Martin Taylor, Renato Velozo Ruiz, Robert M. Strain

arxiv:2606.00175 v1 · 2026-05-29 · gr-qc · math-ph · math.AP · 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{QWQB2UCZ4TB2AAHZK7KKXSBZM6}

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	2026-06-02T01:03:20.567569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a01d5059e4c3a000f957d4abc83967ba46923584fbe86bac5445b4cd14b2a3

Aliases

arxiv: 2606.00175 · arxiv_version: 2606.00175v1 · doi: 10.48550/arxiv.2606.00175 · pith_short_12: QWQB2UCZ4TB2 · pith_short_16: QWQB2UCZ4TB2AAHZ · pith_short_8: QWQB2UCZ

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/QWQB2UCZ4TB2AAHZK7KKXSBZM6 \
  | 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: 85a01d5059e4c3a000f957d4abc83967ba46923584fbe86bac5445b4cd14b2a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61e04070094f3c31607d68502f169df295ee7ab6389e7341c99fdbb2a7f592c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-29T13:51:14Z",
    "title_canon_sha256": "c0e30a3c31f69c3ede0a2d9a6e0e3a69775defcf3426beea22d48f961b4be555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00175",
    "kind": "arxiv",
    "version": 1
  }
}