Pith Number

pith:4VSCZY2R

pith:2015:4VSCZY2RZV4W356K4A4IEFUQ53

not attested not anchored not stored refs pending

Unbiased constraints on the clumpiness of universe from standard candles

Xuheng Ding, Zhengxiang Li, Zong-Hong Zhu

arxiv:1504.03482 v2 · 2015-04-14 · gr-qc · 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{4VSCZY2RZV4W356K4A4IEFUQ53}

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	2026-05-18T02:17:51.035019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5642ce351cd796df7cae038821690eeff3e0511032efe367504020bb9dec4ba

Aliases

arxiv: 1504.03482 · arxiv_version: 1504.03482v2 · doi: 10.48550/arxiv.1504.03482 · pith_short_12: 4VSCZY2RZV4W · pith_short_16: 4VSCZY2RZV4W356K · pith_short_8: 4VSCZY2R

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/4VSCZY2RZV4W356K4A4IEFUQ53 \
  | 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: e5642ce351cd796df7cae038821690eeff3e0511032efe367504020bb9dec4ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b9407f62a4d56291a66a76fcf62f7ddcfa2390e5672c4fcdbc2aa48638adfb",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-04-14T10:20:59Z",
    "title_canon_sha256": "a24b2332f2f514a80552339d3559db0d72f46d8b7f127ff2e671e0269f777c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03482",
    "kind": "arxiv",
    "version": 2
  }
}