Pith Number

pith:D7GSDFRL

pith:2018:D7GSDFRLRQGBXHLP2IQBIYJDBZ

not attested not anchored not stored refs pending

Fourier series of circle embeddings

Leonid V. Kovalev, Xuerui Yang

arxiv:1808.04817 v1 · 2018-08-14 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7GSDFRLRQGBXHLP2IQBIYJDBZ}

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	2026-05-17T23:44:22.481530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fcd21962b8c0c1b9d6fd2201461230e769317046a8086297cce00728b7ff21d

Aliases

arxiv: 1808.04817 · arxiv_version: 1808.04817v1 · doi: 10.48550/arxiv.1808.04817 · pith_short_12: D7GSDFRLRQGB · pith_short_16: D7GSDFRLRQGBXHLP · pith_short_8: D7GSDFRL

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/D7GSDFRLRQGBXHLP2IQBIYJDBZ \
  | 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: 1fcd21962b8c0c1b9d6fd2201461230e769317046a8086297cce00728b7ff21d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad5b076638dcde63b0201b548b080ddfee680eeadb1223129f620b6aab24bfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-08-14T17:56:56Z",
    "title_canon_sha256": "8375a71f26ecd7d2781b504c4413c5e4dd2c5eea090793d2a7978b5ec84de4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04817",
    "kind": "arxiv",
    "version": 1
  }
}