Pith Number

pith:JRXXTCHK

pith:2011:JRXXTCHKO65PHLN2FWSXUMQ6JC

not attested not anchored not stored refs pending

Increasing radial solutions for Neumann problems without growth restrictions

Benedetta Noris, Denis Bonheure, Tobias Weth

arxiv:1109.4009 v1 · 2011-09-19 · 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{JRXXTCHKO65PHLN2FWSXUMQ6JC}

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	2026-05-18T02:00:29.410396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c6f7988ea77baf3adba2da57a321e48a9207b31db02d475da87ee609a28e5c2

Aliases

arxiv: 1109.4009 · arxiv_version: 1109.4009v1 · doi: 10.48550/arxiv.1109.4009 · pith_short_12: JRXXTCHKO65P · pith_short_16: JRXXTCHKO65PHLN2 · pith_short_8: JRXXTCHK

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/JRXXTCHKO65PHLN2FWSXUMQ6JC \
  | 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: 4c6f7988ea77baf3adba2da57a321e48a9207b31db02d475da87ee609a28e5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51f5cce7d323cd6e531acc0636df068bf9a8671b45eaef56f933dc47dc7dd47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-19T12:22:15Z",
    "title_canon_sha256": "7304de2a3fb1c3cc9806fe99f96f6796ba34fefe0b5e310173f530f4f0b2ff6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4009",
    "kind": "arxiv",
    "version": 1
  }
}