Pith Number

pith:NTCJ6V3G

pith:2026:NTCJ6V3GAEWMUE6CVMXMG5TZRG

not attested not anchored not stored refs pending

Strict Convexity for Solution of Liouville-Type Dirichlet Problems

Jiahuan Li, Shuning Xu

arxiv:2607.12849 v1 · 2026-07-14 · 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{NTCJ6V3GAEWMUE6CVMXMG5TZRG}

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	2026-07-15T01:22:21.644298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc49f5766012cca13c2ab2ec3767989a588f4c85ea2f8fdb7b37543d427bf91

Aliases

arxiv: 2607.12849 · arxiv_version: 2607.12849v1 · doi: 10.48550/arxiv.2607.12849 · pith_short_12: NTCJ6V3GAEWM · pith_short_16: NTCJ6V3GAEWMUE6C · pith_short_8: NTCJ6V3G

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/NTCJ6V3GAEWMUE6CVMXMG5TZRG \
  | 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: 6cc49f5766012cca13c2ab2ec3767989a588f4c85ea2f8fdb7b37543d427bf91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2ec52d1033b9ef90993018c3b5fe2d81f94d9a6a3699990c0855e4d2f5c791",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-14T15:03:08Z",
    "title_canon_sha256": "85a49c7716941d3af2d0991f188571dcfb93d523ec5131ea0f381c3c27f0e766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12849",
    "kind": "arxiv",
    "version": 1
  }
}