Pith Number

pith:Y6R2K5DP

pith:2015:Y6R2K5DP3KFMMSAP5FCU24V4R2

not attested not anchored not stored refs pending

Regularity for the optimal compliance problem with length penalization

Antoine Lemenant (LJLL), Antonin Chambolle (CMAP), Eugene Stepanov, Jimmy Lamboley (CEREMADE)

arxiv:1512.08925 v2 · 2015-12-30 · math.OC · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6R2K5DP3KFMMSAP5FCU24V4R2}

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	2026-05-18T01:17:04.910593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a3a5746fda8ac6480fe9454d72bc8e84c83f3494bd2073a5ef75226fc3ee29

Aliases

arxiv: 1512.08925 · arxiv_version: 1512.08925v2 · doi: 10.48550/arxiv.1512.08925 · pith_short_12: Y6R2K5DP3KFM · pith_short_16: Y6R2K5DP3KFMMSAP · pith_short_8: Y6R2K5DP

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/Y6R2K5DP3KFMMSAP5FCU24V4R2 \
  | 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: c7a3a5746fda8ac6480fe9454d72bc8e84c83f3494bd2073a5ef75226fc3ee29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b24f449c3326255711f688290102fb1afaba5fa0562e47fb4e03c2325fdff3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-30T12:32:06Z",
    "title_canon_sha256": "c87ab51d4a25de9e953d1045871cc76f9e20e3ac95d949c46616a1855f108742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08925",
    "kind": "arxiv",
    "version": 2
  }
}