Pith Number

pith:YP72XEQ5

pith:2012:YP72XEQ5N4QJTG5DV2PZLF43H4

not attested not anchored not stored refs pending

On the Fourier transform of the characteristic functions of domains with $C^1$ -smooth boundary

Vladimir Lebedev

arxiv:1201.0408 v2 · 2012-01-02 · 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{YP72XEQ5N4QJTG5DV2PZLF43H4}

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	2026-05-18T03:30:14.045335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ffab921d6f20999ba3ae9f95979b3f064a5bdd356b5aeb75266d61c799bf2b

Aliases

arxiv: 1201.0408 · arxiv_version: 1201.0408v2 · doi: 10.48550/arxiv.1201.0408 · pith_short_12: YP72XEQ5N4QJ · pith_short_16: YP72XEQ5N4QJTG5D · pith_short_8: YP72XEQ5

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/YP72XEQ5N4QJTG5DV2PZLF43H4 \
  | 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: c3ffab921d6f20999ba3ae9f95979b3f064a5bdd356b5aeb75266d61c799bf2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17709999f8f007c81cb9469f99a86f15d98f6f2430ce5ab6908d3803468da4e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-02T01:27:47Z",
    "title_canon_sha256": "53a823e9412c515a10efbe9b35745b77f67ccdc22fb7380a7822c050f1c902f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0408",
    "kind": "arxiv",
    "version": 2
  }
}