Pith Number

pith:KD6HRDCE

pith:2014:KD6HRDCEIVCUFE2WYN5D6DFYJU

not attested not anchored not stored refs pending

On symmetry of extremals in several embedding theorems

A.I. Nazarov, E.V. Mukoseeva

arxiv:1408.3746 v1 · 2014-08-16 · 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{KD6HRDCEIVCUFE2WYN5D6DFYJU}

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	2026-05-18T02:45:03.444793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50fc788c444545429356c37a3f0cb84d01907630ca5e983b95cc9a212ab0a444

Aliases

arxiv: 1408.3746 · arxiv_version: 1408.3746v1 · doi: 10.48550/arxiv.1408.3746 · pith_short_12: KD6HRDCEIVCU · pith_short_16: KD6HRDCEIVCUFE2W · pith_short_8: KD6HRDCE

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/KD6HRDCEIVCUFE2WYN5D6DFYJU \
  | 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: 50fc788c444545429356c37a3f0cb84d01907630ca5e983b95cc9a212ab0a444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c7e85cb8275298a91699a478d4b85536b4f75596885296403f081f5b7d70f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-08-16T16:54:00Z",
    "title_canon_sha256": "daca48c544e6863d1e332a016d7470d7a8427f6cbd52447f2885b75912a49778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3746",
    "kind": "arxiv",
    "version": 1
  }
}