Pith Number

pith:LIZBADG3

pith:2022:LIZBADG3ZKCTWCYCTAOE5EAPXB

not attested not anchored not stored refs pending

The structure of cluster merger shocks: turbulent width and the electron heating timescale

A. C. Fabian, A. Richard-Laferri\`ere, B. R. McNamara, D. Caprioli, H. R. Russell (University of Nottingham), J. Hlavacek-Larrondo, J. S. Sanders, L. J. King, M. Beleznay, M. W. Kunz, P. E. J. Nulsen, R. E. A. Canning, U. Chadayammuri

arxiv:2204.05785 v2 · 2022-04-08 · astro-ph.HE · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIZBADG3ZKCTWCYCTAOE5EAPXB}

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	2026-07-05T04:26:01.220932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a32100cdbca853b0b02981c4e900fb840aa66a02fdd2672362e2cc842462a39

Aliases

arxiv: 2204.05785 · arxiv_version: 2204.05785v2 · doi: 10.48550/arxiv.2204.05785 · pith_short_12: LIZBADG3ZKCT · pith_short_16: LIZBADG3ZKCTWCYC · pith_short_8: LIZBADG3

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/LIZBADG3ZKCTWCYCTAOE5EAPXB \
  | 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: 5a32100cdbca853b0b02981c4e900fb840aa66a02fdd2672362e2cc842462a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e3672bca9a8d288ca7b2b3902387233fc6ada25599d0268285e18d478e64cc",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2022-04-08T18:00:05Z",
    "title_canon_sha256": "c8f5e4475ae31042c44b12f8212951aa21d903890009fba9018e4e94971a97c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.05785",
    "kind": "arxiv",
    "version": 2
  }
}