Pith Number

pith:VN2G47C4

pith:2012:VN2G47C4CATW7DETHB3VSUY7TL

not attested not anchored not stored refs pending

Image Properties of Embedded Lenses

Bin Chen, Ronald Kantowski, Xinyu Dai

arxiv:1206.2936 v2 · 2012-06-13 · astro-ph.CO · astro-ph.HE · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VN2G47C4CATW7DETHB3VSUY7TL}

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	2026-05-18T01:56:58.882479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab746e7c5c10276f8c93387759531f9afb81b15f58e93c2e84f0f84a29b339dc

Aliases

arxiv: 1206.2936 · arxiv_version: 1206.2936v2 · doi: 10.48550/arxiv.1206.2936 · pith_short_12: VN2G47C4CATW · pith_short_16: VN2G47C4CATW7DET · pith_short_8: VN2G47C4

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/VN2G47C4CATW7DETHB3VSUY7TL \
  | 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: ab746e7c5c10276f8c93387759531f9afb81b15f58e93c2e84f0f84a29b339dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f44f9fb0c5ab3715abbeabdb3cf44eaa4f486db320bcbd1e9b12b3c3bbbfa6d",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-13T20:18:18Z",
    "title_canon_sha256": "550a12fae37939a94bf69e605c9f28b64886e70db9aff75cb1fbaf81dedd03ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2936",
    "kind": "arxiv",
    "version": 2
  }
}