Pith Number

pith:PH7FYTJS

pith:2013:PH7FYTJS2QNZPT3TRPMWNZ2E4A

not attested not anchored not stored refs pending

Generalized Fourier frames in terms of balayage

Enrico Au-Yeung, John J. Benedetto

arxiv:1310.2312 v1 · 2013-10-09 · 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{PH7FYTJS2QNZPT3TRPMWNZ2E4A}

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	2026-05-18T03:10:57.358964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79fe5c4d32d41b97cf738bd966e744e038df5dd31ccfbe0493d1b457011d555d

Aliases

arxiv: 1310.2312 · arxiv_version: 1310.2312v1 · doi: 10.48550/arxiv.1310.2312 · pith_short_12: PH7FYTJS2QNZ · pith_short_16: PH7FYTJS2QNZPT3T · pith_short_8: PH7FYTJS

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/PH7FYTJS2QNZPT3TRPMWNZ2E4A \
  | 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: 79fe5c4d32d41b97cf738bd966e744e038df5dd31ccfbe0493d1b457011d555d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039057e6702571d82adb781adc570cbcf87a490a3d3accefd191580a93b653a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-09T00:26:09Z",
    "title_canon_sha256": "d2894b9a9860c9f5ff470cb6b1ef792465c36d5cff2dff28322111ec5daf2705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2312",
    "kind": "arxiv",
    "version": 1
  }
}