Pith Number

pith:DPFY2ULT

pith:2016:DPFY2ULTXWPOGSO5SM4XG5SIOQ

not attested not anchored not stored refs pending

Quantum Vorticity at positive temperature for spin systems with continuous symmetry

Dimitriy Minenkov, Michel Rouleux

arxiv:1609.09742 v1 · 2016-09-30 · 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{DPFY2ULTXWPOGSO5SM4XG5SIOQ}

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	2026-05-18T00:45:48.200712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcb8d5173bd9ee349dd9339737648741b05464005a1c45fe025906143e92248

Aliases

arxiv: 1609.09742 · arxiv_version: 1609.09742v1 · doi: 10.48550/arxiv.1609.09742 · pith_short_12: DPFY2ULTXWPO · pith_short_16: DPFY2ULTXWPOGSO5 · pith_short_8: DPFY2ULT

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/DPFY2ULTXWPOGSO5SM4XG5SIOQ \
  | 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: 1bcb8d5173bd9ee349dd9339737648741b05464005a1c45fe025906143e92248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bacda1489b1f360c0b4d8d0c91665c572ce9564dd71c0f442e4850f0f7887d94",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-30T14:14:52Z",
    "title_canon_sha256": "4a9e1ef1cd915ed0ac5b1bbc2a5d685db6a7fc61e0c72a5ba1ed5cae0e84010e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09742",
    "kind": "arxiv",
    "version": 1
  }
}