Pith Number

pith:PWWGYBRV

pith:2025:PWWGYBRVARXZH4WB4MK5WZIMVP

not attested not anchored not stored refs pending

Exterior Dirichlet problem for Hessian equations on a non-convex ring

Ling Xiao, Yanyan Li

arxiv:2507.08993 v2 · 2025-07-11 · 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{PWWGYBRVARXZH4WB4MK5WZIMVP}

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	2026-07-05T11:57:20.640105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dac6c0635046f93f2c1e315db650cabcc0afd52a688602d2bf5fe47d0312a04

Aliases

arxiv: 2507.08993 · arxiv_version: 2507.08993v2 · doi: 10.48550/arxiv.2507.08993 · pith_short_12: PWWGYBRVARXZ · pith_short_16: PWWGYBRVARXZH4WB · pith_short_8: PWWGYBRV

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/PWWGYBRVARXZH4WB4MK5WZIMVP \
  | 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: 7dac6c0635046f93f2c1e315db650cabcc0afd52a688602d2bf5fe47d0312a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de63a3bacd636b7b81382142f99508cd043bced0eafd5d97607ac261b8a3b9c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-11T19:51:02Z",
    "title_canon_sha256": "186bfd070272d3cb53564c4711f5b2f396aa6e9fd057065b3c40c61d165ad379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08993",
    "kind": "arxiv",
    "version": 2
  }
}