Pith Number

pith:LFZ63GVA

pith:2013:LFZ63GVARF3EHOXFPR5ZWTKCGN

not attested not anchored not stored refs pending

On decompositions of trigonometric polynomials

F. Pakovich

arxiv:1307.5594 v2 · 2013-07-22 · math.CA · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFZ63GVARF3EHOXFPR5ZWTKCGN}

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	2026-05-18T00:40:42.203736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5973ed9aa0897643bae57c7b9b4d42334d8e21777e42c63da552470056cb773d

Aliases

arxiv: 1307.5594 · arxiv_version: 1307.5594v2 · doi: 10.48550/arxiv.1307.5594 · pith_short_12: LFZ63GVARF3E · pith_short_16: LFZ63GVARF3EHOXF · pith_short_8: LFZ63GVA

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/LFZ63GVARF3EHOXFPR5ZWTKCGN \
  | 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: 5973ed9aa0897643bae57c7b9b4d42334d8e21777e42c63da552470056cb773d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf79c43658526e8e675dbc0da38bc8a19bbf0070759b5dbe9ef702c1287a033",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-22T05:48:43Z",
    "title_canon_sha256": "cbe476b18b600144c95602a5e4a22e0996c91df668529a12204d8856b02cc532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5594",
    "kind": "arxiv",
    "version": 2
  }
}