Pith Number

pith:7WVWZ7KX

pith:2020:7WVWZ7KXI3BRQ7QVM47LECNPK6

not attested not anchored not stored refs pending

Reconciling galaxy cluster shapes, measured by theorists vs observers

Andrew Robertson, David Harvey, Ian G. McCarthy, Jason Rhodes, Mathilde Jauzac, Richard Massey, Sut-Ieng Tam

arxiv:2011.01945 v1 · 2020-11-03 · 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{7WVWZ7KXI3BRQ7QVM47LECNPK6}

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	2026-07-05T01:50:38.566773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdab6cfd5746c3187e15673eb209af57b6aeec51fb27e9f2ecfc0abcdf079e9b

Aliases

arxiv: 2011.01945 · arxiv_version: 2011.01945v1 · doi: 10.48550/arxiv.2011.01945 · pith_short_12: 7WVWZ7KXI3BR · pith_short_16: 7WVWZ7KXI3BRQ7QV · pith_short_8: 7WVWZ7KX

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/7WVWZ7KXI3BRQ7QVM47LECNPK6 \
  | 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: fdab6cfd5746c3187e15673eb209af57b6aeec51fb27e9f2ecfc0abcdf079e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c6f698f3e47c01d401dc33a8f44293f0e85185d8ed4f2ad1089645b86be07a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-03T19:00:03Z",
    "title_canon_sha256": "b3bbac362bbe78e8ec9c7799bc34641d3dd7d789084ca7b4816c086203f45615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.01945",
    "kind": "arxiv",
    "version": 1
  }
}