Pith Number

pith:PG44W2PK

pith:2020:PG44W2PKHTOTHCA5VUGNY2GMCY

not attested not anchored not stored refs pending

The evolution of the size-mass relation at $z$=1-3 derived from the complete Hubble Frontier Fields data set

Guido Roberts-Borsani, Lilan Yang, Maru\v{s}a Brada\v{c}, Simon Birrer, Takahiro Morishita, Tommaso Treu

arxiv:2011.10059 v2 · 2020-11-19 · astro-ph.GA · 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{PG44W2PKHTOTHCA5VUGNY2GMCY}

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	2026-07-05T01:57:58.359025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b9cb69ea3cdd33881dad0cdc68cc1618b5da9205e9f4c34bea1f90126d5718

Aliases

arxiv: 2011.10059 · arxiv_version: 2011.10059v2 · doi: 10.48550/arxiv.2011.10059 · pith_short_12: PG44W2PKHTOT · pith_short_16: PG44W2PKHTOTHCA5 · pith_short_8: PG44W2PK

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/PG44W2PKHTOTHCA5VUGNY2GMCY \
  | 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: 79b9cb69ea3cdd33881dad0cdc68cc1618b5da9205e9f4c34bea1f90126d5718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8deb7b53e002dd4d9907cf03b31ace60407d1e9a4c77f28ddedb80c5e32cf93",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2020-11-19T19:00:03Z",
    "title_canon_sha256": "45b04ac12ca27f20928aa0a365f69068f2728aa861de4bd1a861cc81a4456d13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10059",
    "kind": "arxiv",
    "version": 2
  }
}