Pith Number

pith:DXMD6VWQ

pith:2016:DXMD6VWQ2VOZW6I2MDDT72O5ZI

not attested not anchored not stored refs pending

Further properties of the forward-backward envelope with applications to difference-of-convex programming

Tianxiang Liu, Ting Kei Pong

arxiv:1605.00201 v4 · 2016-05-01 · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXMD6VWQ2VOZW6I2MDDT72O5ZI}

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	2026-05-18T01:02:04.303963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd83f56d0d55d9b791a60c73fe9ddca3b20b3aac9fa5227523748e9acf300a0

Aliases

arxiv: 1605.00201 · arxiv_version: 1605.00201v4 · doi: 10.48550/arxiv.1605.00201 · pith_short_12: DXMD6VWQ2VOZ · pith_short_16: DXMD6VWQ2VOZW6I2 · pith_short_8: DXMD6VWQ

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/DXMD6VWQ2VOZW6I2MDDT72O5ZI \
  | 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: 1dd83f56d0d55d9b791a60c73fe9ddca3b20b3aac9fa5227523748e9acf300a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ecfdcc215027911ea61a908475ef73698acaa26cfc4b0c71fd33361296b3b5",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-01T03:36:58Z",
    "title_canon_sha256": "11698f1271d7b7f5c2aae1e338d24f3aaed2151bfbc17ffcb223abb2bcc4e228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00201",
    "kind": "arxiv",
    "version": 4
  }
}