Pith Number

pith:E3ZEVC5E

pith:2014:E3ZEVC5E76YCBCTWBB53VKOAHV

not attested not anchored not stored refs pending

Finite-dimensional representations of difference operators, and the identification of remarkable matrices

Francesco Calogero

arxiv:1411.3527 v2 · 2014-11-13 · 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{E3ZEVC5E76YCBCTWBB53VKOAHV}

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	2026-05-18T01:41:30.835559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f24a8ba4ffb0208a76087bbaa9c03d4300700b70bef254ae28beed91b61516

Aliases

arxiv: 1411.3527 · arxiv_version: 1411.3527v2 · doi: 10.48550/arxiv.1411.3527 · pith_short_12: E3ZEVC5E76YC · pith_short_16: E3ZEVC5E76YCBCTW · pith_short_8: E3ZEVC5E

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/E3ZEVC5E76YCBCTWBB53VKOAHV \
  | 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: 26f24a8ba4ffb0208a76087bbaa9c03d4300700b70bef254ae28beed91b61516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d10cb98364f69d23cd10057a2bdabb71b3acf63dbeea6fe88b2245fbf0cdca",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-13T12:49:48Z",
    "title_canon_sha256": "ae876899bf9f253537899dd6c1206a9fbbcbed7fee38b53ecc19a66f36c0de0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3527",
    "kind": "arxiv",
    "version": 2
  }
}