Pith Number

pith:KPCBUFNR

pith:2026:KPCBUFNRLTG552LXJTMKFAKG2S

not attested not anchored not stored refs pending

Directional Curvature from Armijo Backtracking: A Low-Cost Sharpness Probe and a Calibration-Free Learning-Rate Safeguard for Adam

Ashmitha R, J\"org Frochte

arxiv:2607.03998 v1 · 2026-07-04 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPCBUFNRLTG552LXJTMKFAKG2S}

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	2026-07-07T02:18:52.430827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c41a15b15ccddee9774cd8a28146d49920ac4e07910de23359586f897d429a

Aliases

arxiv: 2607.03998 · arxiv_version: 2607.03998v1 · doi: 10.48550/arxiv.2607.03998 · pith_short_12: KPCBUFNRLTG5 · pith_short_16: KPCBUFNRLTG552LX · pith_short_8: KPCBUFNR

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/KPCBUFNRLTG552LXJTMKFAKG2S \
  | 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: 53c41a15b15ccddee9774cd8a28146d49920ac4e07910de23359586f897d429a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e92566494b19b0dc5b086c09ca4f7f073269bf41f6bff20c0d697479befa9f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-04T19:49:01Z",
    "title_canon_sha256": "1c478208414e9b0c4e69380644d97d6679ce73984c5e1e721bda5449b7b96272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03998",
    "kind": "arxiv",
    "version": 1
  }
}