Pith Number

pith:4WNTEGNN

pith:2016:4WNTEGNNDOWP3EM7CFWRHVOQ4T

not attested not anchored not stored refs pending

A Unified Approach to Analyzing Asynchronous Coordinate Descent and Tatonnement

Richard Cole, Yun Kuen Cheung

arxiv:1612.09171 v1 · 2016-12-29 · math.OC · cs.DS · cs.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WNTEGNNDOWP3EM7CFWRHVOQ4T}

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	2026-05-18T00:53:46.307072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59b3219ad1bacfd919f116d13d5d0e4fcac405575019a5b577704a62391ee2d

Aliases

arxiv: 1612.09171 · arxiv_version: 1612.09171v1 · doi: 10.48550/arxiv.1612.09171 · pith_short_12: 4WNTEGNNDOWP · pith_short_16: 4WNTEGNNDOWP3EM7 · pith_short_8: 4WNTEGNN

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/4WNTEGNNDOWP3EM7CFWRHVOQ4T \
  | 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: e59b3219ad1bacfd919f116d13d5d0e4fcac405575019a5b577704a62391ee2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca5819495c963f984c44ef9be5161aad5287bab1b1cbbd40d0ff9eff5f1f2c7",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.GT",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-29T15:27:08Z",
    "title_canon_sha256": "2342cf9915fbbb6e05cb399111876a79a22b8e67b965176ea4ce96233a537be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09171",
    "kind": "arxiv",
    "version": 1
  }
}