Pith Number

pith:ETGODIDX

pith:2015:ETGODIDX3EYRYUNSMPC4P623WQ

not attested not anchored not stored refs pending

On universality and convergence of the Fourier series of functions in the disc algebra

Christos Papachristodoulos, Michael Papadimitrakis

arxiv:1503.03426 v2 · 2015-03-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETGODIDX3EYRYUNSMPC4P623WQ}

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	2026-05-18T01:24:38.440273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cce1a077d9311c51b263c5c7fb5bb40f764b0ceeaa6904d6efec05bdb416c4

Aliases

arxiv: 1503.03426 · arxiv_version: 1503.03426v2 · doi: 10.48550/arxiv.1503.03426 · pith_short_12: ETGODIDX3EYR · pith_short_16: ETGODIDX3EYRYUNS · pith_short_8: ETGODIDX

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/ETGODIDX3EYRYUNSMPC4P623WQ \
  | 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: 24cce1a077d9311c51b263c5c7fb5bb40f764b0ceeaa6904d6efec05bdb416c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "869c933080657ae5a0fe2e84d3b2237262fd4b3d5d15c255a0e680c80b2d839f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-11T17:26:26Z",
    "title_canon_sha256": "f0cd6eebf4bde7f9c9efd84917442e99d058f18c09d951f3a1b99d8e7bd1d079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03426",
    "kind": "arxiv",
    "version": 2
  }
}