Pith Number

pith:REPRW4NK

pith:2021:REPRW4NK5CKRTDF3W5JYM3OBPG

not attested not anchored not stored refs pending

Fourier series representation of Ferrers function P

Hans Volkmer

arxiv:2109.00156 v1 · 2021-09-01 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REPRW4NK5CKRTDF3W5JYM3OBPG}

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	2026-07-05T03:10:43.349517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891f1b71aae895198cbbb753866dc1798733e8048e18f0a26df855e277009f94

Aliases

arxiv: 2109.00156 · arxiv_version: 2109.00156v1 · doi: 10.48550/arxiv.2109.00156 · pith_short_12: REPRW4NK5CKR · pith_short_16: REPRW4NK5CKRTDF3 · pith_short_8: REPRW4NK

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/REPRW4NK5CKRTDF3W5JYM3OBPG \
  | 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: 891f1b71aae895198cbbb753866dc1798733e8048e18f0a26df855e277009f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa91b667a43b4de72e421a176dd2c35717bf3a67f2ee7b57fe5b0ebd9269bac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-09-01T02:30:20Z",
    "title_canon_sha256": "50b335ecb8c7d9a9840e1b7cf838bf10ab42546dbad8ff28aad667f518838e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00156",
    "kind": "arxiv",
    "version": 1
  }
}