Pith Number

pith:A7ZT2XTP

pith:2020:A7ZT2XTP4FKBDSG4VZT3KLTJKV

not attested not anchored not stored refs pending

Constraining Cosmological and Galaxy Parameters using Strong Gravitational Lensing Systems

Amitabha Mukherjee, Darshan Kumar, Deepak Jain, Nisha Rani, Shobhit Mahajan

arxiv:2002.06354 v2 · 2020-02-15 · 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{A7ZT2XTP4FKBDSG4VZT3KLTJKV}

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	2026-07-05T02:40:08.529934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f33d5e6fe15411c8dcae67b52e69556bb34b8099ad54b961075235e298d4ed

Aliases

arxiv: 2002.06354 · arxiv_version: 2002.06354v2 · doi: 10.48550/arxiv.2002.06354 · pith_short_12: A7ZT2XTP4FKB · pith_short_16: A7ZT2XTP4FKBDSG4 · pith_short_8: A7ZT2XTP

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/A7ZT2XTP4FKBDSG4VZT3KLTJKV \
  | 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: 07f33d5e6fe15411c8dcae67b52e69556bb34b8099ad54b961075235e298d4ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a2d864b2193d14e81692be127b79c7ab74d35d3cc905404d785b412f5f19ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-02-15T10:04:46Z",
    "title_canon_sha256": "3b27a38f15265fe567b1d3408ccb0ab658ef210c8dd741e4d382df039a1efec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.06354",
    "kind": "arxiv",
    "version": 2
  }
}