Pith Number

pith:7X7JMXLB

pith:2017:7X7JMXLBEIWIIOO3C625F6NJ3L

not attested not anchored not stored refs pending

Interpolation Macdonald operators at infinity

Cesar Cuenca

arxiv:1712.08014 v1 · 2017-12-21 · math-ph · math.CO · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X7JMXLBEIWIIOO3C625F6NJ3L}

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	2026-05-18T00:27:29.106279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdfe965d61222c8439db17b5d2f9a9dadbcf5789a653262c14d223f28d1be823

Aliases

arxiv: 1712.08014 · arxiv_version: 1712.08014v1 · doi: 10.48550/arxiv.1712.08014 · pith_short_12: 7X7JMXLBEIWI · pith_short_16: 7X7JMXLBEIWIIOO3 · pith_short_8: 7X7JMXLB

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/7X7JMXLBEIWIIOO3C625F6NJ3L \
  | 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: fdfe965d61222c8439db17b5d2f9a9dadbcf5789a653262c14d223f28d1be823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bdba37646fbaa07fea53962b33d8f744509500adf87717f70c251773346906e",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-21T15:27:33Z",
    "title_canon_sha256": "1d0c20cb33ccc8f3a7697538c2618868a97eba542c8c11d124eb71e8be9f91d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08014",
    "kind": "arxiv",
    "version": 1
  }
}