Pith Number

pith:47TCKIEP

pith:2025:47TCKIEPM7QMLKFMVTVR2JS6C7

not attested not anchored not stored refs pending

Consistency of augmentation graph and network approximability in contrastive learning

A. Martina Neuman, Chenghui Li

arxiv:2502.04312 v2 · 2025-02-06 · cs.LG · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47TCKIEPM7QMLKFMVTVR2JS6C7}

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	2026-07-05T11:31:43.030448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e625208f67e0c5a8acaceb1d265e17d9d45dbfdedbe5a74ddf52606f865153

Aliases

arxiv: 2502.04312 · arxiv_version: 2502.04312v2 · doi: 10.48550/arxiv.2502.04312 · pith_short_12: 47TCKIEPM7QM · pith_short_16: 47TCKIEPM7QMLKFM · pith_short_8: 47TCKIEP

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/47TCKIEPM7QMLKFMVTVR2JS6C7 \
  | 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: e7e625208f67e0c5a8acaceb1d265e17d9d45dbfdedbe5a74ddf52606f865153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72dc6f5c9b3a9a60b5ddb5a2cad12a03c84a7523e5e319ffd5d601ede1c621f2",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-06T18:55:51Z",
    "title_canon_sha256": "8e537384f40ae652d8820233a8f1a1c7aac706384db21fd97d5fa004eb116006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04312",
    "kind": "arxiv",
    "version": 2
  }
}