Pith Number

pith:B7H5DY6R

pith:2016:B7H5DY6RR7G5ATEVAY44ICXQOV

not attested not anchored not stored refs pending

Multiple nonsmooth solutions for nonconvex variational boundary value problems in $\mathbb{R}^n$

David Yang Gao, Xiaojun Lu

arxiv:1607.05803 v1 · 2016-07-20 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7H5DY6RR7G5ATEVAY44ICXQOV}

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	2026-05-18T01:10:45.257194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fcfd1e3d18fcdd04c950639c40af0754ea16ee8dc5a9cea94765b45d00c79f0

Aliases

arxiv: 1607.05803 · arxiv_version: 1607.05803v1 · doi: 10.48550/arxiv.1607.05803 · pith_short_12: B7H5DY6RR7G5 · pith_short_16: B7H5DY6RR7G5ATEV · pith_short_8: B7H5DY6R

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/B7H5DY6RR7G5ATEVAY44ICXQOV \
  | 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: 0fcfd1e3d18fcdd04c950639c40af0754ea16ee8dc5a9cea94765b45d00c79f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f2d5336f0614ae720bd7c6afd2e37da0a3863ab7bfecf02ec64b407a64ee756",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-20T02:11:51Z",
    "title_canon_sha256": "55b8d81e9bffaacf0512a092c947ad068efbd8917036a93519b5ea0c32099d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05803",
    "kind": "arxiv",
    "version": 1
  }
}