Pith Number

pith:FJBBCYGD

pith:2026:FJBBCYGDF3BKWP6EMQAH6PCKB4

not attested not anchored not stored refs pending

Generating functions and analytic properties of Apostol-type exponential B-splines

Damla Gun

arxiv:2606.26147 v1 · 2026-06-22 · math.NA · cs.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{FJBBCYGDF3BKWP6EMQAH6PCKB4}

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	2026-06-26T00:15:27.264900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a421160c32ec2ab3fc464007f3c4a0f1d44f5be9cdcda92fc805684d63b0794

Aliases

arxiv: 2606.26147 · arxiv_version: 2606.26147v1 · doi: 10.48550/arxiv.2606.26147 · pith_short_12: FJBBCYGDF3BK · pith_short_16: FJBBCYGDF3BKWP6E · pith_short_8: FJBBCYGD

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/FJBBCYGDF3BKWP6EMQAH6PCKB4 \
  | 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: 2a421160c32ec2ab3fc464007f3c4a0f1d44f5be9cdcda92fc805684d63b0794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e0d5df42010c4b012a8cd3b6749e963fac5f1881f575b0694ba64201dc0605",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-22T12:03:40Z",
    "title_canon_sha256": "aee2e39f9c91155e407280f9ebf75e9ff0452b283c7e973f163be6ed2964b74a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26147",
    "kind": "arxiv",
    "version": 1
  }
}