Pith Number

pith:ILJHZIJF

pith:2019:ILJHZIJFOWYA4NG7X3M3XPYFMB

not attested not anchored not stored refs pending

Path Length Bounds for Gradient Descent and Flow

Aaditya Ramdas, Chirag Gupta, Sivaraman Balakrishnan

arxiv:1908.01089 v4 · 2019-08-02 · cs.LG · cs.AI · 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{ILJHZIJFOWYA4NG7X3M3XPYFMB}

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	2026-07-05T02:58:33.390161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d27ca12575b00e34dfbed9bbbf056055236a73b0b930ad818725c3f2cda427

Aliases

arxiv: 1908.01089 · arxiv_version: 1908.01089v4 · doi: 10.48550/arxiv.1908.01089 · pith_short_12: ILJHZIJFOWYA · pith_short_16: ILJHZIJFOWYA4NG7 · pith_short_8: ILJHZIJF

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/ILJHZIJFOWYA4NG7X3M3XPYFMB \
  | 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: 42d27ca12575b00e34dfbed9bbbf056055236a73b0b930ad818725c3f2cda427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f44f56296f31504e0d4d9678d13cf213a0e5c09b426724fe9c97e7efa89926",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-08-02T23:07:42Z",
    "title_canon_sha256": "6aeb8d07fa7e32cfb0fa218726b3696187dd4f6a62e44fd5dfd8b67be165211e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01089",
    "kind": "arxiv",
    "version": 4
  }
}