Pith Number

pith:FTOL3KO4

pith:2017:FTOL3KO45TD76OX3ATUUCMLDBG

not attested not anchored not stored refs pending

Transmutation operators: construction and applications

Kira V. Khmelnytskaya, Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1708.00505 v1 · 2017-08-01 · math.CA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTOL3KO45TD76OX3ATUUCMLDBG}

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	2026-05-18T00:38:45.572877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cdcbda9dcecc7ff3afb04e941316309a1bab99fe7d489b8ca0abf110e59e0b5

Aliases

arxiv: 1708.00505 · arxiv_version: 1708.00505v1 · doi: 10.48550/arxiv.1708.00505 · pith_short_12: FTOL3KO45TD7 · pith_short_16: FTOL3KO45TD76OX3 · pith_short_8: FTOL3KO4

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/FTOL3KO45TD76OX3ATUUCMLDBG \
  | 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: 2cdcbda9dcecc7ff3afb04e941316309a1bab99fe7d489b8ca0abf110e59e0b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e4cd16fba66e389aa3cad5a8b5b3fa1825a3012fa579e304152566818834ef",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-01T20:41:09Z",
    "title_canon_sha256": "ad6aa2336d001eee1f6b8816d556a597ee1b3be0afca8f58e70aa333dd9140c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00505",
    "kind": "arxiv",
    "version": 1
  }
}