Pith Number

pith:T5OJFHGI

pith:2014:T5OJFHGIYKCSJV3WUAP6TNO267

not attested not anchored not stored refs pending

A note on square totients

Carl Pomerance, Tristan Freiberg

arxiv:1410.8109 v1 · 2014-10-29 · 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{T5OJFHGIYKCSJV3WUAP6TNO267}

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	2026-05-18T01:36:31.375832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5c929cc8c28524d776a01fe9b5daf7e07313c17b54fd6b12cecf5ea28fef0a

Aliases

arxiv: 1410.8109 · arxiv_version: 1410.8109v1 · doi: 10.48550/arxiv.1410.8109 · pith_short_12: T5OJFHGIYKCS · pith_short_16: T5OJFHGIYKCSJV3W · pith_short_8: T5OJFHGI

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/T5OJFHGIYKCSJV3WUAP6TNO267 \
  | 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: 9f5c929cc8c28524d776a01fe9b5daf7e07313c17b54fd6b12cecf5ea28fef0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e7ebe718310edd7833349b0803807a838bc0b6cf3effc88596afeeb01d0e6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-29T19:30:10Z",
    "title_canon_sha256": "6266a979a3c3fcd1e27986c8cbff1cdb4a504d4c29c2cbee7aa64647cbcf859c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8109",
    "kind": "arxiv",
    "version": 1
  }
}