Pith Number

pith:T6CZ375U

pith:2019:T6CZ375UXIURIZSXHWGDI5DF3L

not attested not anchored not stored refs pending

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem

Hynek Kovarik, Rupert L. Frank, Tobias K\"onig

arxiv:1908.01331 v1 · 2019-08-04 · 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{T6CZ375UXIURIZSXHWGDI5DF3L}

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	2026-07-05T02:26:10.417811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f859dffb4ba291466573d8c347465dadc0a5b43e2afae91810a8dd48cedc8ca

Aliases

arxiv: 1908.01331 · arxiv_version: 1908.01331v1 · doi: 10.48550/arxiv.1908.01331 · pith_short_12: T6CZ375UXIUR · pith_short_16: T6CZ375UXIURIZSX · pith_short_8: T6CZ375U

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/T6CZ375UXIURIZSXHWGDI5DF3L \
  | 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: 9f859dffb4ba291466573d8c347465dadc0a5b43e2afae91810a8dd48cedc8ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab976f033ff7905381eb6bc93dbf7a3dd43064e6896cce3e1806f12306075317",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-04T12:43:12Z",
    "title_canon_sha256": "4c44fe0f7e69fc2ad7d181df0382a34928647738b2004c2544fe0181ba835465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01331",
    "kind": "arxiv",
    "version": 1
  }
}