Pith Number

pith:J5VZVWJX

pith:2013:J5VZVWJXGQW47QFTL3ITGAWYWL

not attested not anchored not stored refs pending

Finslerian MOND versus the Strong Gravitational Lensing of the Early-type Galaxies

Hai-Nan Lin, Ming-Hua Li, Sai Wang, Xin Li, Zhe Chang

arxiv:1309.1343 v1 · 2013-09-05 · astro-ph.GA · 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{J5VZVWJXGQW47QFTL3ITGAWYWL}

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	2026-05-18T03:14:07.522440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f6b9ad937342dcfc0b35ed13302d8b2e2179cd2405d0e1ca15e9541e182cd8e

Aliases

arxiv: 1309.1343 · arxiv_version: 1309.1343v1 · doi: 10.48550/arxiv.1309.1343 · pith_short_12: J5VZVWJXGQW4 · pith_short_16: J5VZVWJXGQW47QFT · pith_short_8: J5VZVWJX

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/J5VZVWJXGQW47QFTL3ITGAWYWL \
  | 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: 4f6b9ad937342dcfc0b35ed13302d8b2e2179cd2405d0e1ca15e9541e182cd8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addfbc2a3ca7b358c6f204c1c39c5a246e8edb5e89ff65dcf7ea3df5f53ef71c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2013-09-05T13:10:05Z",
    "title_canon_sha256": "9920e2042e1f489dc346d3a99e4bc551a8cd44c840c4cfd6fa200940757564a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1343",
    "kind": "arxiv",
    "version": 1
  }
}