Pith Number

pith:4SB25WVA

pith:2017:4SB25WVAL242SCPTTYD4RWT4PJ

not attested not anchored not stored refs pending

Distributed Subgradient Projection Algorithm over Directed Graphs: Alternate Proof

Chenguang Xi, Ran Xin, Usman A. Khan

arxiv:1706.07707 v1 · 2017-06-21 · 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{4SB25WVAL242SCPTTYD4RWT4PJ}

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	2026-05-18T00:41:48.395536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e483aedaa05eb9a909f39e07c8da7c7a6c5d3f7a8f06959c45531c56c4a5d2a4

Aliases

arxiv: 1706.07707 · arxiv_version: 1706.07707v1 · doi: 10.48550/arxiv.1706.07707 · pith_short_12: 4SB25WVAL242 · pith_short_16: 4SB25WVAL242SCPT · pith_short_8: 4SB25WVA

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/4SB25WVAL242SCPTTYD4RWT4PJ \
  | 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: e483aedaa05eb9a909f39e07c8da7c7a6c5d3f7a8f06959c45531c56c4a5d2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9372fb71c34b8d338ccc28b7b841866b449fd734907080e7799542bab0ffac8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-06-21T18:59:35Z",
    "title_canon_sha256": "f3ba3be35c74273866d4c2836fa6604e0cdb2ea36857f628dc8e98e685ba8d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07707",
    "kind": "arxiv",
    "version": 1
  }
}