Pith Number

pith:3JEJ2HHN

pith:2012:3JEJ2HHNSTZTYOSWIEJMLKGCUQ

not attested not anchored not stored refs pending

The Weight of Emptiness: The Gravitational Lensing Signal of Stacked Voids

Elisabeth Krause, Keiichi Umetsu, Olivier Dor\'e, Tzu-Ching Chang

arxiv:1210.2446 v2 · 2012-10-09 · 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{3JEJ2HHNSTZTYOSWIEJMLKGCUQ}

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	2026-05-18T01:54:04.310400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da489d1ced94f33c3a564112c5a8c2a4260742f1318f09e2ccb6797d880dcd84

Aliases

arxiv: 1210.2446 · arxiv_version: 1210.2446v2 · doi: 10.48550/arxiv.1210.2446 · pith_short_12: 3JEJ2HHNSTZT · pith_short_16: 3JEJ2HHNSTZTYOSW · pith_short_8: 3JEJ2HHN

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/3JEJ2HHNSTZTYOSWIEJMLKGCUQ \
  | 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: da489d1ced94f33c3a564112c5a8c2a4260742f1318f09e2ccb6797d880dcd84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55521122359b2940112a6ea03c5fefef43d3f268a4fe5b957008025c01aeba6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-10-09T00:29:54Z",
    "title_canon_sha256": "7f7d93b2c0de35346e5f2fa944cbe4f2209e46a3fc56132aad5fa617f33281a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2446",
    "kind": "arxiv",
    "version": 2
  }
}