Pith Number

pith:QZ3TIE3V

pith:2025:QZ3TIE3V2GY7SPH623AIBPHXHZ

not attested not anchored not stored refs pending

A Minimalist Example of Edge-of-Stability and Progressive Sharpening

Liming Liu, Simon Du, Tuo Zhao, Zixuan Zhang

arxiv:2503.02809 v1 · 2025-03-04 · 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{QZ3TIE3V2GY7SPH623AIBPHXHZ}

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	2026-07-05T10:24:14.164903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8677341375d1b1f93cfed6c080bcf73e502ff3185c520ec28c864c8a507c107a

Aliases

arxiv: 2503.02809 · arxiv_version: 2503.02809v1 · doi: 10.48550/arxiv.2503.02809 · pith_short_12: QZ3TIE3V2GY7 · pith_short_16: QZ3TIE3V2GY7SPH6 · pith_short_8: QZ3TIE3V

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/QZ3TIE3V2GY7SPH623AIBPHXHZ \
  | 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: 8677341375d1b1f93cfed6c080bcf73e502ff3185c520ec28c864c8a507c107a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3626870d494e681285a61c9fc1a271c742a3cd7cb9f3eb831288097039f086e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-03-04T17:35:13Z",
    "title_canon_sha256": "80e65d948b9ee242f310481858c6bfe05d69e7932fa62372b76f97c6e9d39657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.02809",
    "kind": "arxiv",
    "version": 1
  }
}