Pith Number

pith:Q2NXLKSL

pith:2015:Q2NXLKSLTAYEPOVWS4WPEPSK6T

not attested not anchored not stored refs pending

Quantum vorticity at thermal equilibrium for spins systems with continuous symmetry

Dimitri Minenkov, Michel Rouleux

arxiv:1504.01288 v1 · 2015-04-06 · 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{Q2NXLKSLTAYEPOVWS4WPEPSK6T}

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	2026-05-18T02:19:34.718919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869b75aa4b983047bab6972cf23e4af4e2bd6e7f44e3a925e7accf0622efe854

Aliases

arxiv: 1504.01288 · arxiv_version: 1504.01288v1 · doi: 10.48550/arxiv.1504.01288 · pith_short_12: Q2NXLKSLTAYE · pith_short_16: Q2NXLKSLTAYEPOVW · pith_short_8: Q2NXLKSL

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/Q2NXLKSLTAYEPOVWS4WPEPSK6T \
  | 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: 869b75aa4b983047bab6972cf23e4af4e2bd6e7f44e3a925e7accf0622efe854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f32a58bb0564ce0957dcc85f3f86f97039739b45af90802da9c9b15fe0daf3a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-06T14:23:12Z",
    "title_canon_sha256": "51d3ebde76da7c9c1223604f1c08c77e436c74377aa0a13dd48f59f2de2ed679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01288",
    "kind": "arxiv",
    "version": 1
  }
}