Pith Number

pith:FTLPRPXL

pith:2020:FTLPRPXL5YHNJEQUHEPMEPCVVE

not attested not anchored not stored refs pending

Pairs of Giant Shock Waves (N-Waves) in Merging Galaxy Clusters

Congyao Zhang, Eugene Churazov, Irina Zhuravleva

arxiv:2009.13124 v1 · 2020-09-28 · astro-ph.HE · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTLPRPXL5YHNJEQUHEPMEPCVVE}

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	2026-07-05T01:57:54.932487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd6f8beebee0ed49214391ec23c55a92abf4e9424f9ad879697f415f07a75e0

Aliases

arxiv: 2009.13124 · arxiv_version: 2009.13124v1 · doi: 10.48550/arxiv.2009.13124 · pith_short_12: FTLPRPXL5YHN · pith_short_16: FTLPRPXL5YHNJEQU · pith_short_8: FTLPRPXL

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/FTLPRPXL5YHNJEQUHEPMEPCVVE \
  | 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: 2cd6f8beebee0ed49214391ec23c55a92abf4e9424f9ad879697f415f07a75e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a32b97a17166e9d4a1ea8e2f46ae8a1fe5dbee65df6f2049f0a313e424e54d",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2020-09-28T08:12:29Z",
    "title_canon_sha256": "2ece3b0adfb3eee1d306775ac79562aa64266433d6ce32d666a7d7dba47fefd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13124",
    "kind": "arxiv",
    "version": 1
  }
}