Pith Number

pith:62DVMLAA

pith:2013:62DVMLAAKF7KLKTEFIN7E5HHOQ

not attested not anchored not stored refs pending

Non-constant bounded holomorphic functions of hyperbolic numbers - Candidates for hyperbolic activation functions

Eckhard Hitzer

arxiv:1306.1653 v1 · 2013-06-07 · cs.NE · cs.CV · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62DVMLAAKF7KLKTEFIN7E5HHOQ}

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	2026-05-18T03:21:32.794557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f687562c00517ea5aa642a1bf274e77437eca7b3298c9d059286f07b4d8d8a24

Aliases

arxiv: 1306.1653 · arxiv_version: 1306.1653v1 · doi: 10.48550/arxiv.1306.1653 · pith_short_12: 62DVMLAAKF7K · pith_short_16: 62DVMLAAKF7KLKTE · pith_short_8: 62DVMLAA

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/62DVMLAAKF7KLKTEFIN7E5HHOQ \
  | 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: f687562c00517ea5aa642a1bf274e77437eca7b3298c9d059286f07b4d8d8a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0472d35154dc173cc5cba25430b9cebba7014d54c96871d846bb596a9e63c17a",
    "cross_cats_sorted": [
      "cs.CV",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2013-06-07T08:43:11Z",
    "title_canon_sha256": "b4bf8a35c975067ecb6c4215ba1feb61670d2c32cf51df78dbddee730f4109bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1653",
    "kind": "arxiv",
    "version": 1
  }
}