Pith Number

pith:5HGTVKF5

pith:2012:5HGTVKF5WOBC7HTY2KNET36X2N

not attested not anchored not stored refs pending

Constraints on f(R) cosmologies from strong gravitational lensing systems

Kai Liao, Zong-Hong Zhu

arxiv:1207.2552 v1 · 2012-07-11 · 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{5HGTVKF5WOBC7HTY2KNET36X2N}

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	2026-05-18T03:51:15.161727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9cd3aa8bdb3822f9e78d29a49efd7d3549057bdb14726b54e17ea6b5f44d1a9

Aliases

arxiv: 1207.2552 · arxiv_version: 1207.2552v1 · doi: 10.48550/arxiv.1207.2552 · pith_short_12: 5HGTVKF5WOBC · pith_short_16: 5HGTVKF5WOBC7HTY · pith_short_8: 5HGTVKF5

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/5HGTVKF5WOBC7HTY2KNET36X2N \
  | 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: e9cd3aa8bdb3822f9e78d29a49efd7d3549057bdb14726b54e17ea6b5f44d1a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e7104a7b80a1088eb87359ce482a2587ae419f24d157ded07bfdc1c80f59b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-11T07:14:05Z",
    "title_canon_sha256": "34e7fff3a962e9d4c71c40553c777b9e8723150ac813df15f3146df87393cdf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2552",
    "kind": "arxiv",
    "version": 1
  }
}