Pith Number

pith:FQSBO7GC

pith:2013:FQSBO7GCFGO6MHT6Z7Q625PYFA

not attested not anchored not stored refs pending

Orthogonality of Macdonald polynomials with unitary parameters

E. Emsiz, J. F. van Diejen

arxiv:1301.1276 v2 · 2013-01-07 · math.RT · hep-th · math-ph · math.CO · 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{FQSBO7GCFGO6MHT6Z7Q625PYFA}

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	2026-05-18T02:51:57.192688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c24177cc2299de61e7ecfe1ed75f82834b0bc91503e826ba785dd8830e14f4c

Aliases

arxiv: 1301.1276 · arxiv_version: 1301.1276v2 · doi: 10.48550/arxiv.1301.1276 · pith_short_12: FQSBO7GCFGO6 · pith_short_16: FQSBO7GCFGO6MHT6 · pith_short_8: FQSBO7GC

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/FQSBO7GCFGO6MHT6Z7Q625PYFA \
  | 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: 2c24177cc2299de61e7ecfe1ed75f82834b0bc91503e826ba785dd8830e14f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993d8b8a7c6a136da11fdc317a57d7c804e3fc9f379664e3a1505ce58853c438",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-07T17:37:22Z",
    "title_canon_sha256": "9c09e076adc9bc73b83b202f0dd197dffbc1a76021fdd2ad1a358741a8d5e3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1276",
    "kind": "arxiv",
    "version": 2
  }
}