Pith Number

pith:Q3YIAURM

pith:2015:Q3YIAURMAXHW3HQVFB6LPEIMIL

not attested not anchored not stored refs pending

Strong Duality of Linear Optimisation Problems over Measure Spaces

Raphael Hauser, Sergey Shahverdyan

arxiv:1501.04243 v1 · 2015-01-17 · 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{Q3YIAURMAXHW3HQVFB6LPEIMIL}

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	2026-05-18T02:29:09.655693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f080522c05cf6d9e15287cb7910c42eed8b116cceb5ca7e513f90816c64978

Aliases

arxiv: 1501.04243 · arxiv_version: 1501.04243v1 · doi: 10.48550/arxiv.1501.04243 · pith_short_12: Q3YIAURMAXHW · pith_short_16: Q3YIAURMAXHW3HQV · pith_short_8: Q3YIAURM

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/Q3YIAURMAXHW3HQVFB6LPEIMIL \
  | 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: 86f080522c05cf6d9e15287cb7910c42eed8b116cceb5ca7e513f90816c64978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42219c0bcb7d6171a813a64cbb649741abbaff4552a1f3ff796dcf41da7eadf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-17T23:19:28Z",
    "title_canon_sha256": "31273df8f50831232ce40ac74f6b2487b4f371ffc8e4dd67c71c3cd0687ca56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04243",
    "kind": "arxiv",
    "version": 1
  }
}