pith. sign in
Pith Number

pith:SCWJC2L6

pith:2016:SCWJC2L655QZVQ6KB2LU5S36IH
not attested not anchored not stored refs pending

Boundary relative extremal functions

Ibrahim K. Djire, Jan Wiegerinck

arxiv:1611.01132 v3 · 2016-11-03 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SCWJC2L655QZVQ6KB2LU5S36IH}

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 2026-05-18T00:33:53.043452Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

90ac91697eef619ac3ca0e974ecb7e41ed699f8c74bb87cfe7104c57e87f8ccb

Aliases

arxiv: 1611.01132 · arxiv_version: 1611.01132v3 · doi: 10.48550/arxiv.1611.01132 · pith_short_12: SCWJC2L655QZ · pith_short_16: SCWJC2L655QZVQ6K · pith_short_8: SCWJC2L6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SCWJC2L655QZVQ6KB2LU5S36IH \
  | 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: 90ac91697eef619ac3ca0e974ecb7e41ed699f8c74bb87cfe7104c57e87f8ccb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1ac2b13998781264e3672ea8c0b243ba098193edfedec49f5701877c65c874f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-11-03T19:19:41Z",
    "title_canon_sha256": "28b435ecbb382b364d5c81a01db83d71d2d293395a158372fc84b56f741b40f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01132",
    "kind": "arxiv",
    "version": 3
  }
}