Pith Number

pith:6JPX5WKS

pith:2017:6JPX5WKSW4TIQS6S46F7WGQFP4

not attested not anchored not stored refs pending

The use of $\mu$-Bose gas model for effective modeling of dark matter

A.M. Gavrilik, A.V. Nazarenko, I.I. Kachurik, M.V. Khelashvili

arxiv:1709.05931 v2 · 2017-09-18 · cond-mat.stat-mech · astro-ph.GA · gr-qc · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JPX5WKSW4TIQS6S46F7WGQFP4}

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	2026-05-18T00:33:58.408239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f25f7ed952b726884bd2e78bfb1a057f02864aa3992d24d0059a127e5526b3e1

Aliases

arxiv: 1709.05931 · arxiv_version: 1709.05931v2 · doi: 10.48550/arxiv.1709.05931 · pith_short_12: 6JPX5WKSW4TI · pith_short_16: 6JPX5WKSW4TIQS6S · pith_short_8: 6JPX5WKS

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/6JPX5WKSW4TIQS6S46F7WGQFP4 \
  | 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: f25f7ed952b726884bd2e78bfb1a057f02864aa3992d24d0059a127e5526b3e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666539f73a596f7929bb3d81b1fbb9a969cf9a0711862279c4739493acfccb79",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-09-18T17:54:03Z",
    "title_canon_sha256": "c51fad2395bf3cb43dea46e0b01d4b1e9276670043d7d7a47d92ede0ec6f36f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05931",
    "kind": "arxiv",
    "version": 2
  }
}