Pith Number

pith:FMCGOCGH

pith:2016:FMCGOCGHLURGGKJ5QH2H4EDIDJ

not attested not anchored not stored refs pending

The role of Cerenkov radiation in the pressure balance of cool core clusters of galaxies

Richard Lieu

arxiv:1612.03802 v4 · 2016-12-12 · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMCGOCGHLURGGKJ5QH2H4EDIDJ}

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	2026-05-18T00:47:48.923237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b046708c75d2263293d81f47e10681a4333ffbf426ca7eeee93092c168586f7

Aliases

arxiv: 1612.03802 · arxiv_version: 1612.03802v4 · doi: 10.48550/arxiv.1612.03802 · pith_short_12: FMCGOCGHLURG · pith_short_16: FMCGOCGHLURGGKJ5 · pith_short_8: FMCGOCGH

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/FMCGOCGHLURGGKJ5QH2H4EDIDJ \
  | 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: 2b046708c75d2263293d81f47e10681a4333ffbf426ca7eeee93092c168586f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26377783502b08477d77ca609f4e3abf452189b84fd78dac1adbacd188f70d2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2016-12-12T17:33:05Z",
    "title_canon_sha256": "1fd9881b26aff55431be4d8ebc4533d0f569cf27465b67b228a5b89a7104d090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03802",
    "kind": "arxiv",
    "version": 4
  }
}