Pith Number

pith:6QHBKOHA

pith:2016:6QHBKOHAU3CFTR7ZA4XQG6HCYZ

not attested not anchored not stored refs pending

On Metric Subregularity for Convex Constraint Systems by Primal Equivalent Conditions

Liyun Huang, Zhou Wei

arxiv:1610.05671 v1 · 2016-10-18 · 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{6QHBKOHAU3CFTR7ZA4XQG6HCYZ}

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	2026-05-18T01:01:58.670144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f40e1538e0a6c459c7f9072f0378e2c67762305ad6635ef034360370aed4194f

Aliases

arxiv: 1610.05671 · arxiv_version: 1610.05671v1 · doi: 10.48550/arxiv.1610.05671 · pith_short_12: 6QHBKOHAU3CF · pith_short_16: 6QHBKOHAU3CFTR7Z · pith_short_8: 6QHBKOHA

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/6QHBKOHAU3CFTR7ZA4XQG6HCYZ \
  | 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: f40e1538e0a6c459c7f9072f0378e2c67762305ad6635ef034360370aed4194f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3629ca945f49ebd479a74283b3b08c25556fe40e01a0356b54fa9f696fda6960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-18T15:24:41Z",
    "title_canon_sha256": "92b66b938d06f5bbf445d9a1417af11416ffec3c0527c79c0df84fffc6c58089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05671",
    "kind": "arxiv",
    "version": 1
  }
}