Pith Number

pith:3ST7FKJ7

pith:2012:3ST7FKJ7HEIMBYSZYQC6HJKQ3U

not attested not anchored not stored refs pending

Construction of transmutation operators and hyperbolic pseudoanalytic functions

Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1208.6166 v2 · 2012-08-30 · math.AP · math-ph · math.CA · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ST7FKJ7HEIMBYSZYQC6HJKQ3U}

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	2026-05-18T02:20:59.859118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca7f2a93f3910c0e259c405e3a550dd338c75a6f902bc9dadde0724eabc52da

Aliases

arxiv: 1208.6166 · arxiv_version: 1208.6166v2 · doi: 10.48550/arxiv.1208.6166 · pith_short_12: 3ST7FKJ7HEIM · pith_short_16: 3ST7FKJ7HEIMBYSZ · pith_short_8: 3ST7FKJ7

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/3ST7FKJ7HEIMBYSZYQC6HJKQ3U \
  | 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: dca7f2a93f3910c0e259c405e3a550dd338c75a6f902bc9dadde0724eabc52da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed76fb0edb7365d6376a211f4f2f95e66243ba94be90937ec81aad96701b78a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-30T13:21:11Z",
    "title_canon_sha256": "aaa7e89be494cdb34ff193c3d9d6c293354689f3d05af1ab3bd7863776d006d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6166",
    "kind": "arxiv",
    "version": 2
  }
}