Pith Number

pith:HF7FSFZ4

pith:2011:HF7FSFZ4NQZSSSE3MPCMVGXCT5

not attested not anchored not stored refs pending

Size Evolution of Spheroids in a Hierarchical Universe

2-U. Bologna, 3-UPENN, 4-GEPI), Alan Meert (3), Federico Marulli (2), Francesco Shankar (1), Mariangela Bernardi (3), Simona Mei (4), Vinu Vikram (3) (1-MPA

arxiv:1105.6043 v2 · 2011-05-30 · 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{HF7FSFZ4NQZSSSE3MPCMVGXCT5}

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	2026-05-18T02:01:46.066254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

397e59173c6c3329489b63c4ca9ae29f6917613b4c95146563104db7be931b6d

Aliases

arxiv: 1105.6043 · arxiv_version: 1105.6043v2 · doi: 10.48550/arxiv.1105.6043 · pith_short_12: HF7FSFZ4NQZS · pith_short_16: HF7FSFZ4NQZSSSE3 · pith_short_8: HF7FSFZ4

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/HF7FSFZ4NQZSSSE3MPCMVGXCT5 \
  | 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: 397e59173c6c3329489b63c4ca9ae29f6917613b4c95146563104db7be931b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e7418e607cde4c7a8ae5cbf242d1a639fcb1c80d2345171d84c8a32dedf03f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-30T17:13:23Z",
    "title_canon_sha256": "0f3d1cd329cce0e3708a33a067e7e937205d0bb303a0f1ff806a7ecd33c2959e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6043",
    "kind": "arxiv",
    "version": 2
  }
}