Pith Number

pith:L3U6TQ5I

pith:2015:L3U6TQ5IGMKPNH3KWTUAT4XMYP

not attested not anchored not stored refs pending

Tight Bounds for Approximate Carath\'eodory and Beyond

Adrian Vladu, Renato Paes Leme, Sam Chiu-wai Wong, Vahab Mirrokni

arxiv:1512.08602 v1 · 2015-12-29 · cs.DS · cs.LG · 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{L3U6TQ5IGMKPNH3KWTUAT4XMYP}

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	2026-05-18T01:23:37.226826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee9e9c3a83314f69f6ab4e809f2ecc3f612ea4fe4b72c34133072227cb3dcce

Aliases

arxiv: 1512.08602 · arxiv_version: 1512.08602v1 · doi: 10.48550/arxiv.1512.08602 · pith_short_12: L3U6TQ5IGMKP · pith_short_16: L3U6TQ5IGMKPNH3K · pith_short_8: L3U6TQ5I

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/L3U6TQ5IGMKPNH3KWTUAT4XMYP \
  | 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: 5ee9e9c3a83314f69f6ab4e809f2ecc3f612ea4fe4b72c34133072227cb3dcce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b8c1f7d8024d99764ef083fb2874ef3eae1cc095b475314261855e3d4f71327",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-12-29T05:06:23Z",
    "title_canon_sha256": "33e5a809c57fae34480276bd403efbd29a7f6c32dd6f5145cc917591cb0f0473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08602",
    "kind": "arxiv",
    "version": 1
  }
}