Pith Number

pith:3RU6B5R5

pith:2016:3RU6B5R5U4OBEKCABGW3CPO4VV

not attested not anchored not stored refs pending

A Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results

Beniamin Bogosel, Bozhidar Velichkov

arxiv:1606.02513 v1 · 2016-06-08 · 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{3RU6B5R5U4OBEKCABGW3CPO4VV}

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	2026-05-18T01:12:41.160745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc69e0f63da71c12284009adb13ddcad521cf13280b34f4169373d5cafcb15bc

Aliases

arxiv: 1606.02513 · arxiv_version: 1606.02513v1 · doi: 10.48550/arxiv.1606.02513 · pith_short_12: 3RU6B5R5U4OB · pith_short_16: 3RU6B5R5U4OBEKCA · pith_short_8: 3RU6B5R5

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/3RU6B5R5U4OBEKCABGW3CPO4VV \
  | 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: dc69e0f63da71c12284009adb13ddcad521cf13280b34f4169373d5cafcb15bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c60a380831d3aa6d970a600c44038372932ba3361564d4d4947ae6bd342fd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-08T11:22:00Z",
    "title_canon_sha256": "0ea069ffc760a9858df71662269022693b386e848b6b7a7c6bd4a9de3b6872a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02513",
    "kind": "arxiv",
    "version": 1
  }
}