Pith Number

pith:HTHYRJT3

pith:2013:HTHYRJT3YI7P5PQFP4QZ36ACX7

not attested not anchored not stored refs pending

Probing modified gravity theories with the Sandage-Loeb test

Hongwei Yu, Kai Liao, Puxun Wu, Zhengxiang Li, Zong-Hong Zhu

arxiv:1306.5932 v2 · 2013-06-25 · 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{HTHYRJT3YI7P5PQFP4QZ36ACX7}

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	2026-05-18T03:18:28.676515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ccf88a67bc23efebe057f219df802bfcfefc76b5ed09fba5fbfc2755087cefb

Aliases

arxiv: 1306.5932 · arxiv_version: 1306.5932v2 · doi: 10.48550/arxiv.1306.5932 · pith_short_12: HTHYRJT3YI7P · pith_short_16: HTHYRJT3YI7P5PQF · pith_short_8: HTHYRJT3

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/HTHYRJT3YI7P5PQFP4QZ36ACX7 \
  | 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: 3ccf88a67bc23efebe057f219df802bfcfefc76b5ed09fba5fbfc2755087cefb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc2aa5bc100d55f7d55e08944fcce458a63f8fcb516e9e6302393a1a6f26d82",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-25T12:11:35Z",
    "title_canon_sha256": "b00e0050e2e0f841afe2dd31f0031c32e631f94d1bd6b7eeacbf35a44bd71648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5932",
    "kind": "arxiv",
    "version": 2
  }
}