Pith Number

pith:NK5Q33YW

pith:2013:NK5Q33YW4RHCJMGH7772NGB2PZ

not attested not anchored not stored refs pending

Uniqueness of extremizers for an endpoint inequality of the $k$-plane transform

Taryn C. Flock

arxiv:1307.6551 v2 · 2013-07-24 · 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{NK5Q33YW4RHCJMGH7772NGB2PZ}

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	2026-05-18T03:12:46.073400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6abb0def16e44e24b0c7ffffa6983a7e77db0c6fdad590b2640d4fb45caa744a

Aliases

arxiv: 1307.6551 · arxiv_version: 1307.6551v2 · doi: 10.48550/arxiv.1307.6551 · pith_short_12: NK5Q33YW4RHC · pith_short_16: NK5Q33YW4RHCJMGH · pith_short_8: NK5Q33YW

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/NK5Q33YW4RHCJMGH7772NGB2PZ \
  | 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: 6abb0def16e44e24b0c7ffffa6983a7e77db0c6fdad590b2640d4fb45caa744a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc77333c4275017fc3c7e08a2aa539f04d3ac7ea678097eaf1cab6b4101e9707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-24T19:57:05Z",
    "title_canon_sha256": "abff245b768ee2d390b56214f8d5c142e12ecc24f79ef6afef785063afe627cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6551",
    "kind": "arxiv",
    "version": 2
  }
}