Pith Number

pith:C3QG4QNG

pith:2012:C3QG4QNGZMP3NUATGJSUVHRGJB

not attested not anchored not stored refs pending

Testing gravity with halo density profiles observed through gravitational lensing

Kazuhiro Yamamoto, Tatsuya Narikawa

arxiv:1201.4037 v2 · 2012-01-19 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3QG4QNGZMP3NUATGJSUVHRGJB}

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	2026-05-18T03:55:37.131243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e06e41a6cb1fb6d01332654a9e264873d52cc41aa2d0ae5b936bfe8ad53ce4

Aliases

arxiv: 1201.4037 · arxiv_version: 1201.4037v2 · doi: 10.48550/arxiv.1201.4037 · pith_short_12: C3QG4QNGZMP3 · pith_short_16: C3QG4QNGZMP3NUAT · pith_short_8: C3QG4QNG

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/C3QG4QNGZMP3NUATGJSUVHRGJB \
  | 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: 16e06e41a6cb1fb6d01332654a9e264873d52cc41aa2d0ae5b936bfe8ad53ce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a9ac259b4ed1b1a3f53fcbf1c4bf0bbcbe88a520e38df1e74558135ab9f66f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-19T12:26:32Z",
    "title_canon_sha256": "a9198988010226c76adb631149ce52b3d3ebc4a427e3df4de6feb8ef3699be64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4037",
    "kind": "arxiv",
    "version": 2
  }
}