Pith Number

pith:JM2N53QP

pith:2014:JM2N53QPNWMQ5BAJZRFRFJRZEK

not attested not anchored not stored refs pending

Fej\'er means of Vilenkin-Fourier series

George Tephnadze

arxiv:1410.6186 v1 · 2014-10-05 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JM2N53QPNWMQ5BAJZRFRFJRZEK}

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	2026-05-18T02:39:31.418941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b34deee0f6d990e8409cc4b12a63922b0b04862c6993b8cb15c5bac267f7d20

Aliases

arxiv: 1410.6186 · arxiv_version: 1410.6186v1 · doi: 10.48550/arxiv.1410.6186 · pith_short_12: JM2N53QPNWMQ · pith_short_16: JM2N53QPNWMQ5BAJ · pith_short_8: JM2N53QP

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/JM2N53QPNWMQ5BAJZRFRFJRZEK \
  | 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: 4b34deee0f6d990e8409cc4b12a63922b0b04862c6993b8cb15c5bac267f7d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6fa87255d1835bb07311a20ac40bbd731f5afe9eceab9e174199b7df3e53a98",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-05T02:12:48Z",
    "title_canon_sha256": "bb4987b64c7a07fd72c6c66ce5e159c42dd08bf10a571693609264fcb6efad6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6186",
    "kind": "arxiv",
    "version": 1
  }
}