Pith Number

pith:PX5VSL5O

pith:2014:PX5VSL5OEDB6HGC7THTPDKPTNT

not attested not anchored not stored refs pending

Operator-valued Jacobi parameters and examples of operator-valued distributions

John D. Williams, Michael Anshelevich

arxiv:1412.1280 v3 · 2014-12-03 · math.OA · 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{PX5VSL5OEDB6HGC7THTPDKPTNT}

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	2026-05-18T01:24:11.028311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dfb592fae20c3e3985f99e6f1a9f36cd43997335abe3b1878fb72fd7de0441a

Aliases

arxiv: 1412.1280 · arxiv_version: 1412.1280v3 · doi: 10.48550/arxiv.1412.1280 · pith_short_12: PX5VSL5OEDB6 · pith_short_16: PX5VSL5OEDB6HGC7 · pith_short_8: PX5VSL5O

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/PX5VSL5OEDB6HGC7THTPDKPTNT \
  | 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: 7dfb592fae20c3e3985f99e6f1a9f36cd43997335abe3b1878fb72fd7de0441a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "221c2710449dd7dfcf705aec64598efc3e37c8b2322eda337d17f3ea0e796bae",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-03T11:35:00Z",
    "title_canon_sha256": "d4146fa78bebf7d75d6cce0e1d068e4b10bb861e0ca64acc9efb1f895c95c39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1280",
    "kind": "arxiv",
    "version": 3
  }
}