Pith Number

pith:3C5WDYXY

pith:2013:3C5WDYXYJVKXR54RVID5JSPOGK

not attested not anchored not stored refs pending

Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems

Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1306.2914 v3 · 2013-06-12 · math.CA · math-ph · math.FA · math.MP · 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{3C5WDYXYJVKXR54RVID5JSPOGK}

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	2026-05-18T02:44:54.848494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8bb61e2f84d5578f791aa07d4c9ee329e336275855c44de21d93ad5b2a29bec

Aliases

arxiv: 1306.2914 · arxiv_version: 1306.2914v3 · doi: 10.48550/arxiv.1306.2914 · pith_short_12: 3C5WDYXYJVKX · pith_short_16: 3C5WDYXYJVKXR54R · pith_short_8: 3C5WDYXY

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/3C5WDYXYJVKXR54RVID5JSPOGK \
  | 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: d8bb61e2f84d5578f791aa07d4c9ee329e336275855c44de21d93ad5b2a29bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71a64580bc921a067969e059813a71040d879473b2a91d2a595f79942e9cc49",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-12T18:13:26Z",
    "title_canon_sha256": "426c7a0fb5d5ddde333e73819278d2a66f7433a804c749401801b8e5eedfc57c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2914",
    "kind": "arxiv",
    "version": 3
  }
}