Pith Number

pith:ZIMSWBYX

pith:2012:ZIMSWBYXWJFFVGYMUEE2E6HS64

not attested not anchored not stored refs pending

Testing cosmic opacity from SNe Ia and Hubble parameter through three cosmological-model-independent methods

Jing Ming, Kai Liao, Zhengxiang Li, Zong-Hong Zhu

arxiv:1212.6612 v1 · 2012-12-29 · 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{ZIMSWBYXWJFFVGYMUEE2E6HS64}

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	2026-05-18T03:36:35.996797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca192b0717b24a5a9b0ca109a278f2f71dfc2f8810e9534caba12598ca7c1821

Aliases

arxiv: 1212.6612 · arxiv_version: 1212.6612v1 · doi: 10.48550/arxiv.1212.6612 · pith_short_12: ZIMSWBYXWJFF · pith_short_16: ZIMSWBYXWJFFVGYM · pith_short_8: ZIMSWBYX

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/ZIMSWBYXWJFFVGYMUEE2E6HS64 \
  | 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: ca192b0717b24a5a9b0ca109a278f2f71dfc2f8810e9534caba12598ca7c1821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf90a1a1ba8e917afa184a7365f0e1694376063eacce4007fe8da8072a5d86a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-29T10:43:26Z",
    "title_canon_sha256": "e30bde2a8a34c7cbdc9f30f4e70ade1be703d1e6063da093dc04c5585f80ec95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6612",
    "kind": "arxiv",
    "version": 1
  }
}