Pith Number

pith:6R7LR72J

pith:2014:6R7LR72JTKE2BQNB3EG5VT7WOO

not attested not anchored not stored refs pending

Elements of $\mu$-calculus and thermodynamics of $\mu$-Bose gas model

A.M. Gavrilik, A.P. Rebesh, I.I. Kachurik

arxiv:1401.4022 v1 · 2014-01-16 · quant-ph · cond-mat.quant-gas · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R7LR72JTKE2BQNB3EG5VT7WOO}

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	2026-05-18T03:00:38.944457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47eb8ff499a89a0c1a1d90ddacff673923435ab0ca563da831090971788ef43

Aliases

arxiv: 1401.4022 · arxiv_version: 1401.4022v1 · doi: 10.48550/arxiv.1401.4022 · pith_short_12: 6R7LR72JTKE2 · pith_short_16: 6R7LR72JTKE2BQNB · pith_short_8: 6R7LR72J

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/6R7LR72JTKE2BQNB3EG5VT7WOO \
  | 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: f47eb8ff499a89a0c1a1d90ddacff673923435ab0ca563da831090971788ef43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "932494c628cff9e9790def4f5e60e22ff91848da6990be0fa7195f68632c6df2",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-01-16T13:28:58Z",
    "title_canon_sha256": "7adb02b97b1f487c7855eba9fd7bebef4826500da35f61be8dc2472b0244c292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4022",
    "kind": "arxiv",
    "version": 1
  }
}