Pith Number

pith:I7XW2VVW

pith:2017:I7XW2VVWMQ4CPMFJVWIFFNLKBD

not attested not anchored not stored refs pending

Interbasis expansions in the Zernike system

Alexander Yakhno, George S. Pogosyan, Kurt Bernardo Wolf, Natig M. Atakishiyev

arxiv:1708.06666 v1 · 2017-08-22 · math-ph · 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{I7XW2VVWMQ4CPMFJVWIFFNLKBD}

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	2026-05-18T00:32:20.188639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ef6d56b6643827b0a9ad9052b56a08fa564a49c59112afce6f6d60de63f39c

Aliases

arxiv: 1708.06666 · arxiv_version: 1708.06666v1 · doi: 10.48550/arxiv.1708.06666 · pith_short_12: I7XW2VVWMQ4C · pith_short_16: I7XW2VVWMQ4CPMFJ · pith_short_8: I7XW2VVW

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/I7XW2VVWMQ4CPMFJVWIFFNLKBD \
  | 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: 47ef6d56b6643827b0a9ad9052b56a08fa564a49c59112afce6f6d60de63f39c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0192430a332a5592b745eed6070a226063b9a5bfc15ed628b386fd8e22683ea5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-22T15:11:38Z",
    "title_canon_sha256": "0a89a4555f402b5f02877f55181629ea8c8691cb4e6921e46d602c988ff20cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06666",
    "kind": "arxiv",
    "version": 1
  }
}