pith. sign in
Pith Number

pith:S2CBSVHG

pith:2018:S2CBSVHGLGENNXIGEQOGJJ4NWE
not attested not anchored not stored refs pending

Trans-series for the ground state density and Generalized Bloch equation

Alexander V Turbiner, Edward Shuryak

arxiv:1810.00342 v1 · 2018-09-30 · hep-th · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{S2CBSVHGLGENNXIGEQOGJJ4NWE}

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 2026-05-18T00:00:17.896424Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

96841954e65988d6dd06241c64a78db128407c29d5c24005506907fc36f06e8b

Aliases

arxiv: 1810.00342 · arxiv_version: 1810.00342v1 · doi: 10.48550/arxiv.1810.00342 · pith_short_12: S2CBSVHGLGEN · pith_short_16: S2CBSVHGLGENNXIG · pith_short_8: S2CBSVHG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/S2CBSVHGLGENNXIGEQOGJJ4NWE \
  | 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: 96841954e65988d6dd06241c64a78db128407c29d5c24005506907fc36f06e8b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b14778577cbe95e1a6050ebdad0b74a33a9c60af1169be68871ae49425451251",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-09-30T09:11:33Z",
    "title_canon_sha256": "178cb26af5600c3186f2800f7347b726ac3801f5af541446a27bde0fc9bcb663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00342",
    "kind": "arxiv",
    "version": 1
  }
}