Pith Number

pith:3WMO6QHG

pith:2014:3WMO6QHG57CO4QARCZL57FOP2W

not attested not anchored not stored refs pending

Branching Formula for Macdonald-Koornwinder Polynomials

E. Emsiz, J.F. van Diejen

arxiv:1408.2280 v1 · 2014-08-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WMO6QHG57CO4QARCZL57FOP2W}

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	2026-05-18T01:30:43.347869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd98ef40e6efc4ee40111657df95cfd5be20b4ebe77943c044e03a78df13a97c

Aliases

arxiv: 1408.2280 · arxiv_version: 1408.2280v1 · doi: 10.48550/arxiv.1408.2280 · pith_short_12: 3WMO6QHG57CO · pith_short_16: 3WMO6QHG57CO4QAR · pith_short_8: 3WMO6QHG

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/3WMO6QHG57CO4QARCZL57FOP2W \
  | 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: dd98ef40e6efc4ee40111657df95cfd5be20b4ebe77943c044e03a78df13a97c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60a413e8f3305b3bf8a26a710449e1d7d21371e0fd5192f218b3a1ce32827b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-10T23:11:33Z",
    "title_canon_sha256": "49aa453744883d27d38baf4418bf28846b6e68fa4d21e8e1628f754a01e59c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2280",
    "kind": "arxiv",
    "version": 1
  }
}