Pith Number

pith:PYNFGF3Z

pith:2015:PYNFGF3ZKEZD62M4DXFYWRDWCB

not attested not anchored not stored refs pending

DSA: Decentralized Double Stochastic Averaging Gradient Algorithm

Alejandro Ribeiro, Aryan Mokhtari

arxiv:1506.04216 v1 · 2015-06-13 · 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{PYNFGF3ZKEZD62M4DXFYWRDWCB}

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	2026-05-18T01:49:55.258646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1a53177951323f699c1dcb8b4476106cb26f0cd096d16cf8ccd2b606a7f3b1

Aliases

arxiv: 1506.04216 · arxiv_version: 1506.04216v1 · doi: 10.48550/arxiv.1506.04216 · pith_short_12: PYNFGF3ZKEZD · pith_short_16: PYNFGF3ZKEZD62M4 · pith_short_8: PYNFGF3Z

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/PYNFGF3ZKEZD62M4DXFYWRDWCB \
  | 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: 7e1a53177951323f699c1dcb8b4476106cb26f0cd096d16cf8ccd2b606a7f3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546f32f44a3fe0e88b8a6e0fdd359c0261f2ff35c0ddca968348df4f861f61ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-06-13T03:46:40Z",
    "title_canon_sha256": "b9a7e8df6859ab4eb63ebd0b9edf67067f4e3d431f3770223210023212987224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04216",
    "kind": "arxiv",
    "version": 1
  }
}