Pith Number

pith:56FWX5OV

pith:2001:56FWX5OVMK5QZO275G2CLT5VFD

not attested not anchored not stored refs pending

Representation of Infinitely Differentiable Functions by Dirichlet Series

I. Kh. Musin (Institute of mathematics, Russia), Ufa

arxiv:math/0107102 v1 · 2001-07-13 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56FWX5OVMK5QZO275G2CLT5VFD}

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	2026-05-18T01:05:37.647376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8b6bf5d562bb0cbb5fe9b425cfb528f1701dbc6ea205ae4cf1db32e4df28ce

Aliases

arxiv: math/0107102 · arxiv_version: math/0107102v1 · doi: 10.48550/arxiv.math/0107102 · pith_short_12: 56FWX5OVMK5Q · pith_short_16: 56FWX5OVMK5QZO27 · pith_short_8: 56FWX5OV

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/56FWX5OVMK5QZO275G2CLT5VFD \
  | 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: ef8b6bf5d562bb0cbb5fe9b425cfb528f1701dbc6ea205ae4cf1db32e4df28ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "888420694c138961b8ac3f8796f2b3f8320f2e68d0b6b10b735a253281235469",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2001-07-13T09:43:54Z",
    "title_canon_sha256": "4ee56d8e7eb02dfb50283c9ed8007046ec671b81fc80dc4a536f43fbd696a038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107102",
    "kind": "arxiv",
    "version": 1
  }
}