Pith Number

pith:FK2CHTT6

pith:2012:FK2CHTT6EYR5LLGYFIYXGZQOPP

not attested not anchored not stored refs pending

Interacting Particles on the Line and Dunkl Intertwining Operator of Type A: Application to the Freezing Regime

Makoto Katori, Seiji Miyashita, Sergio Andraus

arxiv:1202.5052 v3 · 2012-02-22 · math-ph · cond-mat.stat-mech · math.MP · math.PR · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FK2CHTT6EYR5LLGYFIYXGZQOPP}

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	2026-05-18T03:46:03.402479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab423ce7e2623d5acd82a3173660e7bcb9cfff87d45363dbe8bc3a8918a04f7

Aliases

arxiv: 1202.5052 · arxiv_version: 1202.5052v3 · doi: 10.48550/arxiv.1202.5052 · pith_short_12: FK2CHTT6EYR5 · pith_short_16: FK2CHTT6EYR5LLGY · pith_short_8: FK2CHTT6

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/FK2CHTT6EYR5LLGYFIYXGZQOPP \
  | 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: 2ab423ce7e2623d5acd82a3173660e7bcb9cfff87d45363dbe8bc3a8918a04f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78afca6bdf56dc9a795f0b95aa16dd26654096bbf0c555ab5e134beab31c870d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-22T21:37:54Z",
    "title_canon_sha256": "0111e855a02007cd847bfc7e9d7f4da8568563d27c1e48302beab1625733d11c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5052",
    "kind": "arxiv",
    "version": 3
  }
}