Pith Number

pith:B4G5IKJ2

pith:2016:B4G5IKJ2EL53LQC64HSAI52HGW

not attested not anchored not stored refs pending

A proof of an open problem of Yusuke Nishizawa for a power-exponential function

Bojan Banjac, Branko Malesevic, Tatjana Lutovac

arxiv:1601.00083 v3 · 2016-01-01 · 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{B4G5IKJ2EL53LQC64HSAI52HGW}

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	2026-07-05T00:11:28.732598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f0dd4293a22fbb5c05ee1e40477473596733887e6fae2d8e6356bbbf12c48f2

Aliases

arxiv: 1601.00083 · arxiv_version: 1601.00083v3 · doi: 10.48550/arxiv.1601.00083 · pith_short_12: B4G5IKJ2EL53 · pith_short_16: B4G5IKJ2EL53LQC6 · pith_short_8: B4G5IKJ2

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/B4G5IKJ2EL53LQC64HSAI52HGW \
  | 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: 0f0dd4293a22fbb5c05ee1e40477473596733887e6fae2d8e6356bbbf12c48f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e88b49fd9dcfcd9aa897de07c96c634e075dc42ad5b98481a73e3bdad60402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-01T15:09:21Z",
    "title_canon_sha256": "6bc1eb570a8682c9b9ec6977f62501c67dc8d901577363a5cba1051a0ed8ea8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00083",
    "kind": "arxiv",
    "version": 3
  }
}