Pith Number

pith:EFPAQLN5

pith:2021:EFPAQLN5LWGNRCBHNWBP4WVFCJ

not attested not anchored not stored refs pending

Hyperbolic Fourier series

Alfonso Montes-Rodriguez, Andrew Bakan, Danylo Radchenko, Haakan Hedenmalm, Maryna Viazovska

arxiv:2110.00148 v2 · 2021-10-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFPAQLN5LWGNRCBHNWBP4WVFCJ}

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.

Cited by

1 paper in Pith

Hyperbolic Fourier series and the Klein-Gordon equation

Receipt and verification

First computed	2026-07-05T06:27:37.839150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

215e082dbd5d8cd888276d82fe5aa5127834ef3d9511a54a91a527ad3e86427d

Aliases

arxiv: 2110.00148 · arxiv_version: 2110.00148v2 · doi: 10.48550/arxiv.2110.00148 · pith_short_12: EFPAQLN5LWGN · pith_short_16: EFPAQLN5LWGNRCBH · pith_short_8: EFPAQLN5

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/EFPAQLN5LWGNRCBHNWBP4WVFCJ \
  | 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: 215e082dbd5d8cd888276d82fe5aa5127834ef3d9511a54a91a527ad3e86427d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f3af74522c870645d79063e7054184847ee41be383099a300ffaff73ea10ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-01T00:54:10Z",
    "title_canon_sha256": "ff5e3b558cd77c09e146c811eae896f1d1e6570bd1f96ff32de094b14e531c57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.00148",
    "kind": "arxiv",
    "version": 2
  }
}