Pith Number

pith:HNE7IZCR

pith:2019:HNE7IZCRDPC72TKLFX2WFJJ2Y4

not attested not anchored not stored refs pending

Bubbling nodal solutions for a large perturbation of the Moser-Trudinger equation on planar domains

Angela Pistoia, Daisuke Naimen, Gabriele Mancini, Massimo Grossi

arxiv:1903.02060 v1 · 2019-03-05 · 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{HNE7IZCRDPC72TKLFX2WFJJ2Y4}

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	2026-05-17T23:51:56.750100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b49f464511bc5fd4d4b2df562a53ac70d9367fb25bfadbe9990ac58741e903f

Aliases

arxiv: 1903.02060 · arxiv_version: 1903.02060v1 · doi: 10.48550/arxiv.1903.02060 · pith_short_12: HNE7IZCRDPC7 · pith_short_16: HNE7IZCRDPC72TKL · pith_short_8: HNE7IZCR

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/HNE7IZCRDPC72TKLFX2WFJJ2Y4 \
  | 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: 3b49f464511bc5fd4d4b2df562a53ac70d9367fb25bfadbe9990ac58741e903f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64dec0ed80d09946e596c1ce4969d8e654979c0c56e1eedf0bc1f80e818a58db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-05T21:19:02Z",
    "title_canon_sha256": "90ac4cf0a0e1bd2449a283794cfcead2e32c739ee39304acc7e685686eef99f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02060",
    "kind": "arxiv",
    "version": 1
  }
}