Pith Number

pith:BCYGI6BM

pith:2019:BCYGI6BMHZI55IKNV3HEKCVLVC

not attested not anchored not stored refs pending

Existence of positive solutions for a Brezis--Nirenberg type problem involving an inverse operator

Alejandro Ortega, Eduardo Colorado, Pablo \'Alvarez-Caudevilla

arxiv:1903.04345 v1 · 2019-03-11 · 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{BCYGI6BMHZI55IKNV3HEKCVLVC}

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	2026-05-17T23:51:35.656201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b064782c3e51dea14daece450aaba8969c2594a106809665d7a555404be08b

Aliases

arxiv: 1903.04345 · arxiv_version: 1903.04345v1 · doi: 10.48550/arxiv.1903.04345 · pith_short_12: BCYGI6BMHZI5 · pith_short_16: BCYGI6BMHZI55IKN · pith_short_8: BCYGI6BM

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/BCYGI6BMHZI55IKNV3HEKCVLVC \
  | 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: 08b064782c3e51dea14daece450aaba8969c2594a106809665d7a555404be08b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e6e7e564b8f838b1622fdc8c49e98c0a5816be24b15fff3932a7d78c851ae34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-11T15:01:16Z",
    "title_canon_sha256": "07ae464ec21d7a283a9d8e8816ef2b4eb7dd3c87cd436feb7076bee5221a2350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04345",
    "kind": "arxiv",
    "version": 1
  }
}