Pith Number

pith:Z5SIU7AC

pith:2016:Z5SIU7ACUTNLXUM7SQJ3IDD77J

not attested not anchored not stored refs pending

Lower semicontinuity of solution mappings for parametric fixed point problems with applications

Nan-jing Huang, Yu Han

arxiv:1608.03452 v2 · 2016-08-11 · 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{Z5SIU7ACUTNLXUM7SQJ3IDD77J}

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	2026-05-18T00:40:13.802299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf648a7c02a4dabbd19f9413b40c7ffa6e2a81b1dc0b14dd09ed84d5114b4b8f

Aliases

arxiv: 1608.03452 · arxiv_version: 1608.03452v2 · doi: 10.48550/arxiv.1608.03452 · pith_short_12: Z5SIU7ACUTNL · pith_short_16: Z5SIU7ACUTNLXUM7 · pith_short_8: Z5SIU7AC

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/Z5SIU7ACUTNLXUM7SQJ3IDD77J \
  | 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: cf648a7c02a4dabbd19f9413b40c7ffa6e2a81b1dc0b14dd09ed84d5114b4b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58e8cfa617ad53818b86746f2835f7d4f185889f8889717a2224e99276259c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-11T13:21:33Z",
    "title_canon_sha256": "a1235438050b55a41b3f441b7ec01617a89e90eb47e3e518cc06f05d81838ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03452",
    "kind": "arxiv",
    "version": 2
  }
}