Pith Number

pith:4XHMJEQP

pith:2022:4XHMJEQPFXATRW5CJAHIDSMR4Y

not attested not anchored not stored refs pending

The gravitational field of X-COP galaxy clusters

D. Eckert, E. Pointecouteau, R. F. J. van der Burg, S. Ettori, S. I. Loubser

arxiv:2205.01110 v1 · 2022-05-02 · astro-ph.CO · astro-ph.GA · 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{4XHMJEQPFXATRW5CJAHIDSMR4Y}

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	2026-07-05T04:37:37.180208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5cec4920f2dc138dba2480e81c991e634f8bbd9aca651157d3edf0cebb8bd44

Aliases

arxiv: 2205.01110 · arxiv_version: 2205.01110v1 · doi: 10.48550/arxiv.2205.01110 · pith_short_12: 4XHMJEQPFXAT · pith_short_16: 4XHMJEQPFXATRW5C · pith_short_8: 4XHMJEQP

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/4XHMJEQPFXATRW5CJAHIDSMR4Y \
  | 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: e5cec4920f2dc138dba2480e81c991e634f8bbd9aca651157d3edf0cebb8bd44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d21e80b6bc5c8eeef3e07ea71425d3a383ff1780fbc475858ce7174cbf11c42e",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-05-02T18:00:01Z",
    "title_canon_sha256": "f0c48ff1d8dfd38d702ff59e4622b9fbb435d0a2338b971c8af636b3bf642ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.01110",
    "kind": "arxiv",
    "version": 1
  }
}