Pith Number

pith:6YALRPF4

pith:2017:6YALRPF4TMTC4CMX2HUF57OHT4

not attested not anchored not stored refs pending

An Approximate Shapley-Folkman Theorem

Alexandre d'Aspremont, Igor Colin, Thomas Kerdreux

arxiv:1712.08559 v3 · 2017-12-22 · 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{6YALRPF4TMTC4CMX2HUF57OHT4}

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	2026-05-17T23:41:56.445694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f600b8bcbc9b262e0997d1e85efdc79f305ce0a45d46c8717fb5c31949cfabc8

Aliases

arxiv: 1712.08559 · arxiv_version: 1712.08559v3 · doi: 10.48550/arxiv.1712.08559 · pith_short_12: 6YALRPF4TMTC · pith_short_16: 6YALRPF4TMTC4CMX · pith_short_8: 6YALRPF4

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/6YALRPF4TMTC4CMX2HUF57OHT4 \
  | 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: f600b8bcbc9b262e0997d1e85efdc79f305ce0a45d46c8717fb5c31949cfabc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd3942bee43485e7340126da700a931d9e67256c0e7dcec43bb60bd9218f920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-22T16:39:33Z",
    "title_canon_sha256": "81c3c0b1933ae0eebf9fad832ca0326b9fc0297694789059c20621324cfe6a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08559",
    "kind": "arxiv",
    "version": 3
  }
}