Pith Number

pith:YVYZRTAK

pith:2016:YVYZRTAKDEH5SSHXVYFNFPVEKV

not attested not anchored not stored refs pending

On Factorization of Generalized Macdonald Polynomials

A. Morozov, Ya. Kononov

arxiv:1607.00615 v3 · 2016-07-03 · hep-th · math-ph · math.GR · 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{YVYZRTAKDEH5SSHXVYFNFPVEKV}

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	2026-05-18T01:04:53.414135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c57198cc0a190fd948f7ae0ad2bea4556ba6a9981549b8b07a8e6280ad5f33c7

Aliases

arxiv: 1607.00615 · arxiv_version: 1607.00615v3 · doi: 10.48550/arxiv.1607.00615 · pith_short_12: YVYZRTAKDEH5 · pith_short_16: YVYZRTAKDEH5SSHX · pith_short_8: YVYZRTAK

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/YVYZRTAKDEH5SSHXVYFNFPVEKV \
  | 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: c57198cc0a190fd948f7ae0ad2bea4556ba6a9981549b8b07a8e6280ad5f33c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745878f15742894dcf51cce50f9c25b3eb48f7612230d1f67c5f4ef2c3956ae0",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-03T08:47:27Z",
    "title_canon_sha256": "d35f487aa6812c2ad7aeef57fe21079eec13cd1b1528e71b29102bc1c6099a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00615",
    "kind": "arxiv",
    "version": 3
  }
}