Pith Number

pith:WXZ3WZCD

pith:2025:WXZ3WZCD2X3IMJGNKEFMVQBI3U

not attested not anchored not stored refs pending

An analytic formalism to describe the $N_{\rm eff}(\rm H)$-$n_{\rm H}$ relationship in molecular clouds

Brandt A. L. Gaches

arxiv:2507.16931 v2 · 2025-07-22 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXZ3WZCD2X3IMJGNKEFMVQBI3U}

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.

Cited by

1 paper in Pith

Emergence of high-mass stars in complex fiber networks (EMERGE) VI. Turbulence dissipation and the formation of dense fibers

Receipt and verification

First computed	2026-07-05T11:56:05.824535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f3bb6443d5f68624cd510acac028dd001a70aa15a29d8b21fe04500bc9edd7

Aliases

arxiv: 2507.16931 · arxiv_version: 2507.16931v2 · doi: 10.48550/arxiv.2507.16931 · pith_short_12: WXZ3WZCD2X3I · pith_short_16: WXZ3WZCD2X3IMJGN · pith_short_8: WXZ3WZCD

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/WXZ3WZCD2X3IMJGNKEFMVQBI3U \
  | 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: b5f3bb6443d5f68624cd510acac028dd001a70aa15a29d8b21fe04500bc9edd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0280c75d3f5a455b45868a7164ac9fff91de7c54217484b0dd01a8f70b823451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2025-07-22T18:13:48Z",
    "title_canon_sha256": "f964ff3ba0dc22d1fcc046426382cfc3083cd806f9605b8d6e4ba99a6178ad66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16931",
    "kind": "arxiv",
    "version": 2
  }
}