Pith Number

pith:BAB6TPVP

pith:2017:BAB6TPVPVVR5MY3X6DF3R4ZLCH

not attested not anchored not stored refs pending

On the best constant for Gagliardo-Nirenberg interpolation inequalities

Jian-Guo Liu, Jinhuan Wang

arxiv:1712.10208 v1 · 2017-12-29 · 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{BAB6TPVPVVR5MY3X6DF3R4ZLCH}

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	2026-05-18T00:27:03.699620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0803e9beafad63d66377f0cbb8f32b11e3be53a09349457d53c7027d81ff474e

Aliases

arxiv: 1712.10208 · arxiv_version: 1712.10208v1 · doi: 10.48550/arxiv.1712.10208 · pith_short_12: BAB6TPVPVVR5 · pith_short_16: BAB6TPVPVVR5MY3X · pith_short_8: BAB6TPVP

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/BAB6TPVPVVR5MY3X6DF3R4ZLCH \
  | 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: 0803e9beafad63d66377f0cbb8f32b11e3be53a09349457d53c7027d81ff474e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e1578871e73529a9893be1d12a4689a8a281fee3dfc02c29123a31561c8be9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-29T12:58:04Z",
    "title_canon_sha256": "4ef768c8d803321e21382bafaab20f64dcdf1a3c03837c2bf0c44221818fb126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10208",
    "kind": "arxiv",
    "version": 1
  }
}