Pith Number

pith:SOBFS4WJ

pith:2015:SOBFS4WJQIZ23UNY4GSNUO232K

not attested not anchored not stored refs pending

On the maximum values of the additive representation functions

Csaba S\'andor, S\'andor Z. Kiss

arxiv:1504.07411 v2 · 2015-04-28 · 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{SOBFS4WJQIZ23UNY4GSNUO232K}

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	2026-05-18T01:36:47.855766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93825972c98233add1b8e1a4da3b5bd283e46e0775c3ecd3d074ed94eb3cefb6

Aliases

arxiv: 1504.07411 · arxiv_version: 1504.07411v2 · doi: 10.48550/arxiv.1504.07411 · pith_short_12: SOBFS4WJQIZ2 · pith_short_16: SOBFS4WJQIZ23UNY · pith_short_8: SOBFS4WJ

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/SOBFS4WJQIZ23UNY4GSNUO232K \
  | 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: 93825972c98233add1b8e1a4da3b5bd283e46e0775c3ecd3d074ed94eb3cefb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3282218e86c3ef1d0c14398dcab2365889c93969c9e0a2d6587ad16b1481b2f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-28T10:17:59Z",
    "title_canon_sha256": "2a6c825263abd2725091918c7404dd46d9f403add70720e64fdb47d116e2d644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07411",
    "kind": "arxiv",
    "version": 2
  }
}