Pith Number

pith:GTHPKD73

pith:2012:GTHPKD73KWG4DNTKZWIOFSBV6S

not attested not anchored not stored refs pending

Shapes and Probabilities of Galaxy Clusters II: Comparisons with observations

Abel Yang, William C. Saslaw

arxiv:1203.3823 v2 · 2012-03-16 · 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{GTHPKD73KWG4DNTKZWIOFSBV6S}

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	2026-05-18T03:52:54.582831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34cef50ffb558dc1b66acd90e2c835f48c0ddea654617061089c48370ded402b

Aliases

arxiv: 1203.3823 · arxiv_version: 1203.3823v2 · doi: 10.48550/arxiv.1203.3823 · pith_short_12: GTHPKD73KWG4 · pith_short_16: GTHPKD73KWG4DNTK · pith_short_8: GTHPKD73

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/GTHPKD73KWG4DNTKZWIOFSBV6S \
  | 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: 34cef50ffb558dc1b66acd90e2c835f48c0ddea654617061089c48370ded402b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc8d54ee478523f444c17ff282fdb81266ad9dd1d73b497a4f0a62dfd6e3464",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-03-16T21:57:39Z",
    "title_canon_sha256": "58f7fe86fce8ad740ff87216bc956b23b81c2d1f83d44799fee18a34608af72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3823",
    "kind": "arxiv",
    "version": 2
  }
}