Pith Number

pith:UNCGMI4J

pith:2010:UNCGMI4JEF7KECSBT3UVU4NOZL

not attested not anchored not stored refs pending

Multiple Weak Deflections in Galaxy-Galaxy Lensing

Tereasa G. Brainerd

arxiv:1003.0004 v1 · 2010-02-26 · 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{UNCGMI4JEF7KECSBT3UVU4NOZL}

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	2026-05-18T02:08:48.817092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a344662389217ea20a419ee95a71aecae53199ca76cedcc292df7465ce3dd52d

Aliases

arxiv: 1003.0004 · arxiv_version: 1003.0004v1 · doi: 10.48550/arxiv.1003.0004 · pith_short_12: UNCGMI4JEF7K · pith_short_16: UNCGMI4JEF7KECSB · pith_short_8: UNCGMI4J

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/UNCGMI4JEF7KECSBT3UVU4NOZL \
  | 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: a344662389217ea20a419ee95a71aecae53199ca76cedcc292df7465ce3dd52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e154fda3bd252c706e80adf5938fb491acfaba3f7e4a4a74258fed93b0110422",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-02-26T21:00:21Z",
    "title_canon_sha256": "6cdd9db1aefb95be64669eb4f82e0b90aa0c575c011cdda461bd34fff45e06a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0004",
    "kind": "arxiv",
    "version": 1
  }
}