Pith Number

pith:73K573VE

pith:2012:73K573VEHZGWYZ6YOYJYDOUT6L

not attested not anchored not stored refs pending

Improved estimates for the discrete Fourier restriction to the higher dimensional sphere

Ciprian Demeter, Jean Bourgain

arxiv:1205.2414 v2 · 2012-05-11 · 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{73K573VEHZGWYZ6YOYJYDOUT6L}

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	2026-05-18T03:11:58.207399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed5dfeea43e4d6c67d8761381ba93f2e4f5ce284a3a468d174a5c64d3207b37

Aliases

arxiv: 1205.2414 · arxiv_version: 1205.2414v2 · doi: 10.48550/arxiv.1205.2414 · pith_short_12: 73K573VEHZGW · pith_short_16: 73K573VEHZGWYZ6Y · pith_short_8: 73K573VE

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/73K573VEHZGWYZ6YOYJYDOUT6L \
  | 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: fed5dfeea43e4d6c67d8761381ba93f2e4f5ce284a3a468d174a5c64d3207b37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7b42fcfae508e40362226df6f32ffff96836594f47857fa3e325cc0d9e6e09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-11T01:47:50Z",
    "title_canon_sha256": "2f24410c5924ab7975d3a53ed0b71bb008b6cbe7cb184e1dce4c687949207a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2414",
    "kind": "arxiv",
    "version": 2
  }
}