Pith Number

pith:KSUV4JTD

pith:2015:KSUV4JTDCUE4OJ2EL5KGK3KNPI

not attested not anchored not stored refs pending

Generations of monic polynomials such that the coefficients of the polynomials of the next generation coincide with the zeros of the polynomials of the current generation, and new solvable many-body problems

Francesco Calogero, Oksana Bihun

arxiv:1510.05017 v1 · 2015-10-16 · math-ph · math.CA · 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{KSUV4JTDCUE4OJ2EL5KGK3KNPI}

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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	2026-05-18T01:14:02.955066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54a95e26631509c727445f54656d4d7a04b522b97b239be9cf54be76483eacc8

Aliases

arxiv: 1510.05017 · arxiv_version: 1510.05017v1 · doi: 10.48550/arxiv.1510.05017 · pith_short_12: KSUV4JTDCUE4 · pith_short_16: KSUV4JTDCUE4OJ2E · pith_short_8: KSUV4JTD

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/KSUV4JTDCUE4OJ2EL5KGK3KNPI \
  | 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: 54a95e26631509c727445f54656d4d7a04b522b97b239be9cf54be76483eacc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56ea5c99e44295deddb2c6b9016947d4f21354f743cb44d9dac1519dac98c4d4",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-16T20:25:43Z",
    "title_canon_sha256": "65fae871675f57c95928a6c9b9465fff4afb1ef4390ceaeb1351423a85d4d3c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05017",
    "kind": "arxiv",
    "version": 1
  }
}