Pith Number

pith:VE7XHENR

pith:2023:VE7XHENR2AYBSUXO22J4NL3REG

not attested not anchored not stored refs pending

On Ramanujan-Fourier expansions

David T. Nguyen

arxiv:2305.17597 v1 · 2023-05-28 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VE7XHENR2AYBSUXO22J4NL3REG}

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	2026-07-05T06:14:46.201933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93f7391b1d0301952eed693c6af7121932d77541a233936e6bf77bdc4f84ab7

Aliases

arxiv: 2305.17597 · arxiv_version: 2305.17597v1 · doi: 10.48550/arxiv.2305.17597 · pith_short_12: VE7XHENR2AYB · pith_short_16: VE7XHENR2AYBSUXO · pith_short_8: VE7XHENR

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/VE7XHENR2AYBSUXO22J4NL3REG \
  | 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: a93f7391b1d0301952eed693c6af7121932d77541a233936e6bf77bdc4f84ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af9c635cb1a11a2c307b4e78ebba6ebdfaca377f7825dbe814a1be9466890748",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-05-28T00:00:56Z",
    "title_canon_sha256": "041b36bc07073bcfdd529ca909243c9b73638db010dcf92012a9b9dc8b8ce2ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.17597",
    "kind": "arxiv",
    "version": 1
  }
}