Pith Number

pith:JZJC6BW2

pith:2013:JZJC6BW22IOCL42KD5RHJIQ3V7

not attested not anchored not stored refs pending

Constraining smoothness parameter and the DD relation of Dyer-Roeder equation with supernovae

Hao-Ran Yu, Tong-Jie Zhang, Xi Yang

arxiv:1305.6989 v2 · 2013-05-30 · 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{JZJC6BW22IOCL42KD5RHJIQ3V7}

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	2026-05-18T03:20:58.113175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e522f06dad21c25f34a1f6274a21bafec39c0687d2c7d994a3c4bc54e3f7cb9

Aliases

arxiv: 1305.6989 · arxiv_version: 1305.6989v2 · doi: 10.48550/arxiv.1305.6989 · pith_short_12: JZJC6BW22IOC · pith_short_16: JZJC6BW22IOCL42K · pith_short_8: JZJC6BW2

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/JZJC6BW22IOCL42KD5RHJIQ3V7 \
  | 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: 4e522f06dad21c25f34a1f6274a21bafec39c0687d2c7d994a3c4bc54e3f7cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57be672e2d954652025de1d3bb6077b72f705068f8d8dcfc4e0f603e53b0a02d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-05-30T02:47:46Z",
    "title_canon_sha256": "6e843e085b686433fbcd489bad1c661cf3644d97030188acec117bbcc8979392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6989",
    "kind": "arxiv",
    "version": 2
  }
}