Pith Number

pith:4TFPZOEE

pith:2025:4TFPZOEEVEDGYEPKZIWHYL7F7C

not attested not anchored not stored refs pending

Some Generalizations of Totient Function with Elementary Symmetric Sums

N. Uday Kiran, Udvas Acharjee

arxiv:2511.19502 v2 · 2025-11-23 · 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{4TFPZOEEVEDGYEPKZIWHYL7F7C}

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	2026-05-21T01:04:19.266140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4cafcb884a9066c11eaca2c7c2fe5f8aaef97981ede8b3ab02c6bc371e3f2c4

Aliases

arxiv: 2511.19502 · arxiv_version: 2511.19502v2 · doi: 10.48550/arxiv.2511.19502 · pith_short_12: 4TFPZOEEVEDG · pith_short_16: 4TFPZOEEVEDGYEPK · pith_short_8: 4TFPZOEE

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/4TFPZOEEVEDGYEPKZIWHYL7F7C \
  | 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: e4cafcb884a9066c11eaca2c7c2fe5f8aaef97981ede8b3ab02c6bc371e3f2c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05552c359d02987a6e239636723c6a19ed88b46688de64b3db65b950d0dc324f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-11-23T17:55:41Z",
    "title_canon_sha256": "c97496c146f3589d4e442c4cf8fc7e6c13c75e9cf37ba0c01e50f806c9463829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.19502",
    "kind": "arxiv",
    "version": 2
  }
}