Pith Number

pith:ULTJNSNW

pith:2016:ULTJNSNWJ7HMYMAOD42DCIW53R

not attested not anchored not stored refs pending

Weak lensing by galaxy troughs with modified gravity

Alexandre Barreira (MPA), Baojiu Li (ICC, Claudio Llinares (ICC, Durham), Sownak Bose (ICC

arxiv:1605.08436 v2 · 2016-05-26 · 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{ULTJNSNWJ7HMYMAOD42DCIW53R}

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	2026-05-18T00:50:04.532084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e696c9b64fcecc300e1f343122dddc53f80582f8920a6d6a562e8b732a53b9

Aliases

arxiv: 1605.08436 · arxiv_version: 1605.08436v2 · doi: 10.48550/arxiv.1605.08436 · pith_short_12: ULTJNSNWJ7HM · pith_short_16: ULTJNSNWJ7HMYMAO · pith_short_8: ULTJNSNW

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/ULTJNSNWJ7HMYMAOD42DCIW53R \
  | 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: a2e696c9b64fcecc300e1f343122dddc53f80582f8920a6d6a562e8b732a53b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1927074599427b1fca2c62d09b5963c57e319cce71b1323990c8705c52eecde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-05-26T19:59:20Z",
    "title_canon_sha256": "d14cda81ad136a09c79997548aebf0727a462b4f8b4a5058f31576c8fe6bc27e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08436",
    "kind": "arxiv",
    "version": 2
  }
}