Pith Number

pith:EQN5E4T4

pith:2011:EQN5E4T4EUDIHL4ATKE4OA3SJB

not attested not anchored not stored refs pending

Estimates for the Square Variation of Partial Sums of Fourier Series and their Rearrangements

Allison Lewko, Mark Lewko

arxiv:1106.0871 v2 · 2011-06-05 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQN5E4T4EUDIHL4ATKE4OA3SJB}

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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	2026-05-18T04:03:32.336252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

241bd2727c250683af809a89c70372487c647b73a06ce5c7e117712dfc5dcf46

Aliases

arxiv: 1106.0871 · arxiv_version: 1106.0871v2 · doi: 10.48550/arxiv.1106.0871 · pith_short_12: EQN5E4T4EUDI · pith_short_16: EQN5E4T4EUDIHL4A · pith_short_8: EQN5E4T4

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/EQN5E4T4EUDIHL4ATKE4OA3SJB \
  | 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: 241bd2727c250683af809a89c70372487c647b73a06ce5c7e117712dfc5dcf46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c38bd95e1fc22f31579c7a8decc4180a3748752f655a8f06c8e92b27d82b08da",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-05T03:44:20Z",
    "title_canon_sha256": "45defbb8e811b4086418b8fc47a4dc7037538fcae3d52be720d630f482573032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0871",
    "kind": "arxiv",
    "version": 2
  }
}