Pith Number

pith:MIWWANCW

pith:2017:MIWWANCWJVP6URIRN26M45BHQX

not attested not anchored not stored refs pending

Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications

Ademir Pastor, Amin Esfahani

arxiv:1702.06222 v1 · 2017-02-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIWWANCWJVP6URIRN26M45BHQX}

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	2026-05-18T00:50:14.693569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622d6034564d5fea45116ebcce742785ede41cbad0ea2f4655016dca38f5835d

Aliases

arxiv: 1702.06222 · arxiv_version: 1702.06222v1 · doi: 10.48550/arxiv.1702.06222 · pith_short_12: MIWWANCWJVP6 · pith_short_16: MIWWANCWJVP6URIR · pith_short_8: MIWWANCW

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/MIWWANCWJVP6URIRN26M45BHQX \
  | 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: 622d6034564d5fea45116ebcce742785ede41cbad0ea2f4655016dca38f5835d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95af1d2082f03e36d572b5b29a8d54873065795dfcb0ab7b526b7f659fffc373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-21T00:29:50Z",
    "title_canon_sha256": "f88c82e3160afca975f5f1ed7a1cc0b8174c8fb97f63b1462749122af9cb37c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06222",
    "kind": "arxiv",
    "version": 1
  }
}