Pith Number

pith:DACHZG5T

pith:2012:DACHZG5T7VGYTXC265VAK6QO3T

not attested not anchored not stored refs pending

On some extremal problems in certain harmonic function spaces of several variables related to mixed norm spaces

Romi F.Shamoyan

arxiv:1205.0171 v1 · 2012-05-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DACHZG5T7VGYTXC265VAK6QO3T}

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	2026-05-18T03:03:22.210343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18047c9bb3fd4d89dc5af76a057a0edcce7c44af5d8674fe8f546406d74f8b40

Aliases

arxiv: 1205.0171 · arxiv_version: 1205.0171v1 · doi: 10.48550/arxiv.1205.0171 · pith_short_12: DACHZG5T7VGY · pith_short_16: DACHZG5T7VGYTXC2 · pith_short_8: DACHZG5T

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/DACHZG5T7VGYTXC265VAK6QO3T \
  | 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: 18047c9bb3fd4d89dc5af76a057a0edcce7c44af5d8674fe8f546406d74f8b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e4b28c7f87e63adfd6d3d9d6a84e091c5db3cedfec3e87e2f06727c70d66cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-05-01T14:26:10Z",
    "title_canon_sha256": "fe7a1bd0e6600d5e0f2008615904bc30af6bad0fa327f8512a846b00a257b50b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0171",
    "kind": "arxiv",
    "version": 1
  }
}