Pith Number

pith:AQIZCCFS

pith:2011:AQIZCCFSGRUVWBP62MUT6TNEEG

not attested not anchored not stored refs pending

Shapes and Probabilities of Galaxy Clusters

Abel Yang, William C. Saslaw

arxiv:1107.4084 v2 · 2011-07-20 · 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{AQIZCCFSGRUVWBP62MUT6TNEEG}

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	2026-05-18T04:04:54.765769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04119108b234695b05fed3293f4da421b4427a5580a002f09ec4f7d4b5c80737

Aliases

arxiv: 1107.4084 · arxiv_version: 1107.4084v2 · doi: 10.48550/arxiv.1107.4084 · pith_short_12: AQIZCCFSGRUV · pith_short_16: AQIZCCFSGRUVWBP6 · pith_short_8: AQIZCCFS

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/AQIZCCFSGRUVWBP62MUT6TNEEG \
  | 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: 04119108b234695b05fed3293f4da421b4427a5580a002f09ec4f7d4b5c80737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7b1c1239f4795116174ff7eac736d6b3f06bd64f4741db438b2938e6cc9550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-07-20T19:44:10Z",
    "title_canon_sha256": "3289a8657865714d5e09125e1e54d72e1efee975072f15dd4ae4da1784876ccb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4084",
    "kind": "arxiv",
    "version": 2
  }
}