Pith Number

pith:YLGW3IWW

pith:2013:YLGW3IWWIF5A67Z5W6IYAM4JI4

not attested not anchored not stored refs pending

Applications of Convex Analysis within Mathematics

Francisco J. Arag\'on Artacho, Jonathan M. Borwein, Liangjin Yao, Victoria Mart\'in-M\'arquez

arxiv:1302.1978 v2 · 2013-02-08 · math.FA · 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{YLGW3IWWIF5A67Z5W6IYAM4JI4}

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	2026-05-18T03:17:56.861188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cd6da2d6417a0f7f3db7918033894722e2562f24132d945e13d1ea5febf780

Aliases

arxiv: 1302.1978 · arxiv_version: 1302.1978v2 · doi: 10.48550/arxiv.1302.1978 · pith_short_12: YLGW3IWWIF5A · pith_short_16: YLGW3IWWIF5A67Z5 · pith_short_8: YLGW3IWW

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/YLGW3IWWIF5A67Z5W6IYAM4JI4 \
  | 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: c2cd6da2d6417a0f7f3db7918033894722e2562f24132d945e13d1ea5febf780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a86a3b4a60a53ffaea8a90c08145c1648c7e83d77cd63bcdc272b4d55ed2f5",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-08T09:50:03Z",
    "title_canon_sha256": "b46de172764711de12fb9356b9ea04fe1f5adb6915e7572de48445cf73e6b099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1978",
    "kind": "arxiv",
    "version": 2
  }
}