Pith Number

pith:YFZ3NZPJ

pith:2014:YFZ3NZPJNJRCUULJW6SQBSCCYA

not attested not anchored not stored refs pending

Solvable and/or integrable many-body models on a circle

Francesco Calogero, Oksana Bihun

arxiv:1407.2080 v1 · 2014-07-08 · 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{YFZ3NZPJNJRCUULJW6SQBSCCYA}

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	2026-05-18T02:48:08.496156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c173b6e5e96a622a5169b7a500c842c029c4f0dfe28b63791445b865c9f8e92f

Aliases

arxiv: 1407.2080 · arxiv_version: 1407.2080v1 · doi: 10.48550/arxiv.1407.2080 · pith_short_12: YFZ3NZPJNJRC · pith_short_16: YFZ3NZPJNJRCUULJ · pith_short_8: YFZ3NZPJ

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/YFZ3NZPJNJRCUULJW6SQBSCCYA \
  | 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: c173b6e5e96a622a5169b7a500c842c029c4f0dfe28b63791445b865c9f8e92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d371f1facde641b652e2c3a4fe1e64614896e00b6867cdd41f7492fd161fb0c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-08T13:42:57Z",
    "title_canon_sha256": "1104844cef12192668319787e49a34539a9e499c084a2cdb2bd3d11fac89d6c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2080",
    "kind": "arxiv",
    "version": 1
  }
}