Pith Number

pith:MTJQ62FX

pith:2017:MTJQ62FX7ID5K2RLVJG54LPM4U

not attested not anchored not stored refs pending

The best constant in the embedding of $W^{N,1}({\mathbb R}^N)$ into $L^\infty({\mathbb R}^N)$

Itai Shafrir

arxiv:1706.06928 v2 · 2017-06-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTJQ62FX7ID5K2RLVJG54LPM4U}

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	2026-05-18T00:19:35.668712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d30f68b7fa07d56a2baa4dde2dece51af2fa08528638198eb2c63db5da6fd0

Aliases

arxiv: 1706.06928 · arxiv_version: 1706.06928v2 · doi: 10.48550/arxiv.1706.06928 · pith_short_12: MTJQ62FX7ID5 · pith_short_16: MTJQ62FX7ID5K2RL · pith_short_8: MTJQ62FX

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/MTJQ62FX7ID5K2RLVJG54LPM4U \
  | 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: 64d30f68b7fa07d56a2baa4dde2dece51af2fa08528638198eb2c63db5da6fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e612e36c628848a09b209cdcc65e65dd64da7f985b663d8928df0b9faf903d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-21T14:25:16Z",
    "title_canon_sha256": "9874ea5259305127e654e96d13900c696bc97081208b57bd6720fd3048c108dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06928",
    "kind": "arxiv",
    "version": 2
  }
}