Pith Number

pith:NGZCXJ2H

pith:2016:NGZCXJ2H4M6Z64LLW7RZCF5PHI

not attested not anchored not stored refs pending

A fully nonlinear Sobolev trace inequality

Jeffrey S. Case, Yi Wang

arxiv:1606.00071 v1 · 2016-05-31 · 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{NGZCXJ2H4M6Z64LLW7RZCF5PHI}

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	2026-05-18T01:13:05.970881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b22ba747e33d9f716bb7e39117af3a023ec77791f4d967f9132e61b49cd0a9

Aliases

arxiv: 1606.00071 · arxiv_version: 1606.00071v1 · doi: 10.48550/arxiv.1606.00071 · pith_short_12: NGZCXJ2H4M6Z · pith_short_16: NGZCXJ2H4M6Z64LL · pith_short_8: NGZCXJ2H

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/NGZCXJ2H4M6Z64LLW7RZCF5PHI \
  | 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: 69b22ba747e33d9f716bb7e39117af3a023ec77791f4d967f9132e61b49cd0a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a2f9855b93853a4f09817329ae67b13e7a681f2caa5a3835e9e41667e35851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-31T23:09:25Z",
    "title_canon_sha256": "84e47038af17130620cc1b2654690f48f94e03c92457c301a9155f22773cc79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00071",
    "kind": "arxiv",
    "version": 1
  }
}