Pith Number

pith:VOLLHCHO

pith:2026:VOLLHCHOEOFKLMRE7HXJWLRCN7

not attested not anchored not stored refs pending

Tighter Dark Matter Constraints from the Projected Mass Method: A Neural Network Enhanced Method for Galaxy Groups and Clusters

David Benisty, Yinbo Huang

arxiv:2607.15339 v1 · 2026-07-16 · astro-ph.GA · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOLLHCHOEOFKLMRE7HXJWLRCN7}

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	2026-07-20T00:18:27.786338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab96b388ee238aa5b224f9ee9b2e226ff24d89ec4c5135c1b7cd2861a5637c7f

Aliases

arxiv: 2607.15339 · arxiv_version: 2607.15339v1 · doi: 10.48550/arxiv.2607.15339 · pith_short_12: VOLLHCHOEOFK · pith_short_16: VOLLHCHOEOFKLMRE · pith_short_8: VOLLHCHO

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/VOLLHCHOEOFKLMRE7HXJWLRCN7 \
  | 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: ab96b388ee238aa5b224f9ee9b2e226ff24d89ec4c5135c1b7cd2861a5637c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7a083d43c3ed35685fff782bd9712560180589c632c2852a04ef9d7b8e25b9",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-07-16T18:00:26Z",
    "title_canon_sha256": "9bc8f2118a5f40cd2ea6fc879936166035b63bd76db37a26129d3dbb16393aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15339",
    "kind": "arxiv",
    "version": 1
  }
}