Pith Number

pith:LHWI5REQ

pith:2025:LHWI5REQYOT4QYSULR5WH6Y472

not attested not anchored not stored refs pending

The Concordance of Weak Lensing and Escape Velocity Mass Estimates for Galaxy Clusters

Alexander Rodriguez, Christopher J. Miller

arxiv:2507.20938 v1 · 2025-07-28 · 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{LHWI5REQYOT4QYSULR5WH6Y472}

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	2026-07-05T11:44:28.496138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ec8ec490c3a7c862545c7b63fb1cfe858fa0f6a6cd4a339bf25b2aa4959bcd

Aliases

arxiv: 2507.20938 · arxiv_version: 2507.20938v1 · doi: 10.48550/arxiv.2507.20938 · pith_short_12: LHWI5REQYOT4 · pith_short_16: LHWI5REQYOT4QYSU · pith_short_8: LHWI5REQ

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/LHWI5REQYOT4QYSULR5WH6Y472 \
  | 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: 59ec8ec490c3a7c862545c7b63fb1cfe858fa0f6a6cd4a339bf25b2aa4959bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa9784f88dd1c3c0cf28737ffe7919ac4676bacccba3bb8ba71e771e0d9a1086",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-28T15:51:55Z",
    "title_canon_sha256": "f7ae60a263f22f9deeddaf6da9eb71e2ce781c5083bf2658851357ef30a7dd31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20938",
    "kind": "arxiv",
    "version": 1
  }
}