Pith Number

pith:USBDSTY2

pith:2013:USBDSTY2D2NF7GLG5ME2YHMWYX

not attested not anchored not stored refs pending

Solyanik estimates in harmonic analysis

Ioannis Parissis, Paul A. Hagelstein

arxiv:1310.3771 v2 · 2013-10-14 · 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{USBDSTY2D2NF7GLG5ME2YHMWYX}

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	2026-05-18T01:34:35.918704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a482394f1a1e9a5f9966eb09ac1d96c5f16ef65121fe34b8e9583d786d971ec1

Aliases

arxiv: 1310.3771 · arxiv_version: 1310.3771v2 · doi: 10.48550/arxiv.1310.3771 · pith_short_12: USBDSTY2D2NF · pith_short_16: USBDSTY2D2NF7GLG · pith_short_8: USBDSTY2

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/USBDSTY2D2NF7GLG5ME2YHMWYX \
  | 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: a482394f1a1e9a5f9966eb09ac1d96c5f16ef65121fe34b8e9583d786d971ec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "382d27ab27809394077ae6c49c9cde8b283a8dedaa466f7337fd0441cfa498f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-14T18:31:39Z",
    "title_canon_sha256": "d82a7f63c1543559ff5429e894bba62cba07fc239de09310aa8e2bdb95c87497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3771",
    "kind": "arxiv",
    "version": 2
  }
}