Pith Number

pith:TFRQBZNC

pith:2014:TFRQBZNCZ3JVP4UWNPFEZYAGHK

not attested not anchored not stored refs pending

The influence of the matter along the line of sight and in the lens environment on the strong gravitational lensing

M. Jaroszynski, Z. Kostrzewa-Rutkowska

arxiv:1401.4108 v1 · 2014-01-16 · 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{TFRQBZNCZ3JVP4UWNPFEZYAGHK}

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	2026-05-18T01:45:24.754063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

996300e5a2ced357f2966bca4ce0063a9d8154b240d4ce3e22a92731a3f343f4

Aliases

arxiv: 1401.4108 · arxiv_version: 1401.4108v1 · doi: 10.48550/arxiv.1401.4108 · pith_short_12: TFRQBZNCZ3JV · pith_short_16: TFRQBZNCZ3JVP4UW · pith_short_8: TFRQBZNC

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/TFRQBZNCZ3JVP4UWNPFEZYAGHK \
  | 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: 996300e5a2ced357f2966bca4ce0063a9d8154b240d4ce3e22a92731a3f343f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c062a37f1176ffe5e3a9654028af335cc4093962108a61193d65bbea0cd2da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-01-16T18:04:52Z",
    "title_canon_sha256": "f61dca10cc3168645e3b2bc4b18b1e2c253d9f0debe899360f331831b459c7d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4108",
    "kind": "arxiv",
    "version": 1
  }
}