Pith Number

pith:TFJDCINU

pith:2017:TFJDCINU26QO3RI37NDEAN5STC

not attested not anchored not stored refs pending

From a cotangent sum to a generalized totient function

Michael Th. Rassias

arxiv:1705.09917 v2 · 2017-05-28 · 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{TFJDCINU26QO3RI37NDEAN5STC}

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	2026-05-18T00:34:41.566884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99523121b4d7a0edc51bfb464037b298bf30b82cc35c33ee8730e56f6c6dd352

Aliases

arxiv: 1705.09917 · arxiv_version: 1705.09917v2 · doi: 10.48550/arxiv.1705.09917 · pith_short_12: TFJDCINU26QO · pith_short_16: TFJDCINU26QO3RI3 · pith_short_8: TFJDCINU

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/TFJDCINU26QO3RI37NDEAN5STC \
  | 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: 99523121b4d7a0edc51bfb464037b298bf30b82cc35c33ee8730e56f6c6dd352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f027b84ff02fb9fe73db1ae22bf58a0becf81484d7d109974461c67e7c79133c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-28T09:34:47Z",
    "title_canon_sha256": "d82df3d9d63e274d2c5cad1d20570b49737d87b5ad4d371f2f2c91ce1c072414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09917",
    "kind": "arxiv",
    "version": 2
  }
}