Pith Number

pith:QNOYMNDW

pith:2014:QNOYMNDWY3LBNTQ2KOHLVSRQE7

not attested not anchored not stored refs pending

Existence and stability properties of entire solutions to the polyharmonic equation $(-\Delta)^m u=e^u$ for any $m\ge 1$

Alberto Farina, Alberto Ferrero

arxiv:1403.0729 v1 · 2014-03-04 · 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{QNOYMNDWY3LBNTQ2KOHLVSRQE7}

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	2026-05-18T02:57:15.833172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

835d863476c6d616ce1a538ebaca3027d9a6cb5831097674f67703403fcb9d1f

Aliases

arxiv: 1403.0729 · arxiv_version: 1403.0729v1 · doi: 10.48550/arxiv.1403.0729 · pith_short_12: QNOYMNDWY3LB · pith_short_16: QNOYMNDWY3LBNTQ2 · pith_short_8: QNOYMNDW

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/QNOYMNDWY3LBNTQ2KOHLVSRQE7 \
  | 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: 835d863476c6d616ce1a538ebaca3027d9a6cb5831097674f67703403fcb9d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3765825e378a01e85e0552f78567b236b8148c36cec859e2c0529eabe5004be1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-04T09:59:51Z",
    "title_canon_sha256": "0e677440216f858c9132053c5dc6e0101830169f199ee63c61a8fb6748daedac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0729",
    "kind": "arxiv",
    "version": 1
  }
}