Pith Number

pith:GYZ26QRX

pith:2011:GYZ26QRXTMOGHI53W4DEHPENVV

not attested not anchored not stored refs pending

Little change in the sizes of the most massive galaxies since z = 1

C. A. Collins, C. Burke, G. P. Smith, J.P. Stott, V. Hamilton-Morris

arxiv:1101.4652 v1 · 2011-01-24 · 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{GYZ26QRXTMOGHI53W4DEHPENVV}

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	2026-05-18T02:03:22.823621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3633af42379b1c63a3bbb70643bc8dad76a215c56b95ff2e79af1f26a1dcc608

Aliases

arxiv: 1101.4652 · arxiv_version: 1101.4652v1 · doi: 10.48550/arxiv.1101.4652 · pith_short_12: GYZ26QRXTMOG · pith_short_16: GYZ26QRXTMOGHI53 · pith_short_8: GYZ26QRX

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/GYZ26QRXTMOGHI53W4DEHPENVV \
  | 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: 3633af42379b1c63a3bbb70643bc8dad76a215c56b95ff2e79af1f26a1dcc608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de2cb3ee52ef218cc1f7a5afc8a3a8e57f61eeb78ab04639905cd90d6f50b3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-01-24T21:00:06Z",
    "title_canon_sha256": "834c465a774cab3865954d2f2182de6f38c85e4c40e87adc8f95bace12ebe0fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4652",
    "kind": "arxiv",
    "version": 1
  }
}