Pith Number

pith:7CRE7D2E

pith:2017:7CRE7D2EYIAVWJL4DDYBD43I6P

not attested not anchored not stored refs pending

An analytic relation between the fractional parameter in the Mittag-Leffler function and the chemical potential in the Bose-Einstein distribution through the analysis of the NASA COBE monopole data

Minoru Biyajima, Naomichi Suzuki, Takuya Mizoguchi

arxiv:1709.08212 v1 · 2017-09-24 · cond-mat.stat-mech · cond-mat.quant-gas · hep-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{7CRE7D2EYIAVWJL4DDYBD43I6P}

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	2026-05-18T00:23:33.099733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a24f8f44c2015b257c18f011f368f3c59699c7186b9ab2abf6930ad80988ef

Aliases

arxiv: 1709.08212 · arxiv_version: 1709.08212v1 · doi: 10.48550/arxiv.1709.08212 · pith_short_12: 7CRE7D2EYIAV · pith_short_16: 7CRE7D2EYIAVWJL4 · pith_short_8: 7CRE7D2E

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/7CRE7D2EYIAVWJL4DDYBD43I6P \
  | 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: f8a24f8f44c2015b257c18f011f368f3c59699c7186b9ab2abf6930ad80988ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea119e38c3eff02958d1ec713fe47f9a768eb8f9b4b7ccc0d3e7561ee2efaa84",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-09-24T15:41:13Z",
    "title_canon_sha256": "4b5ac8759d806158a039085c2de0c8591482d26d48c63e6a796494cd3bf1eec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08212",
    "kind": "arxiv",
    "version": 1
  }
}