Pith Number

pith:B63ZMF5O

pith:2017:B63ZMF5OKRURHIQSDJVXMOGWQD

not attested not anchored not stored refs pending

Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

Kanishka Perera, Marco Squassina

arxiv:1704.00128 v1 · 2017-04-01 · 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{B63ZMF5OKRURHIQSDJVXMOGWQD}

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	2026-05-18T00:47:25.382593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb79617ae546913a2121a6b7638d680fd93e945536b1dd0713f4fd812e6fc77

Aliases

arxiv: 1704.00128 · arxiv_version: 1704.00128v1 · doi: 10.48550/arxiv.1704.00128 · pith_short_12: B63ZMF5OKRUR · pith_short_16: B63ZMF5OKRURHIQS · pith_short_8: B63ZMF5O

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/B63ZMF5OKRURHIQSDJVXMOGWQD \
  | 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: 0fb79617ae546913a2121a6b7638d680fd93e945536b1dd0713f4fd812e6fc77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf3815d1a5a72e5cbb69244c54d51b619bfadc090f8523ba1dd51065fa7cbd17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-01T07:11:16Z",
    "title_canon_sha256": "c8f8e3a8000d6c7a42efdce4b0472b9d5109c17809cdf3c48edc617143eea468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00128",
    "kind": "arxiv",
    "version": 1
  }
}