Pith Number

pith:FWGRJEXF

pith:2016:FWGRJEXFDIJZKQGU4JPQFAKIXK

not attested not anchored not stored refs pending

Branching Rules for Symmetric Hypergeometric Polynomials

E. Emsiz, J.F. van Diejen

arxiv:1601.06186 v1 · 2016-01-22 · math.CO · 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{FWGRJEXFDIJZKQGU4JPQFAKIXK}

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	2026-05-18T00:09:05.956026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d8d1492e51a139540d4e25f028148ba8d1f92b660f4062dca78abec4a66b293

Aliases

arxiv: 1601.06186 · arxiv_version: 1601.06186v1 · doi: 10.48550/arxiv.1601.06186 · pith_short_12: FWGRJEXFDIJZ · pith_short_16: FWGRJEXFDIJZKQGU · pith_short_8: FWGRJEXF

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/FWGRJEXFDIJZKQGU4JPQFAKIXK \
  | 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: 2d8d1492e51a139540d4e25f028148ba8d1f92b660f4062dca78abec4a66b293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca3c5a9d4a8eba2fa8ead248672a787ef3f4bc12130c644c5a315dd040a2f182",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-22T22:04:17Z",
    "title_canon_sha256": "ca082043f9d0a06ce3951df18d25fff623e45f8a733bf3faebe6b2789ff4631d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06186",
    "kind": "arxiv",
    "version": 1
  }
}