Pith Number

pith:STTVBISJ

pith:2025:STTVBISJPGMAQJH7LEK6MIEAZU

not attested not anchored not stored refs pending

Dynamics Over Landscape: The Emergence of Linear Separability via Spectral Alignment in Contrastive Learning

Jeff Calder, Wonjun Lee

arxiv:2503.10812 v2 · 2025-03-13 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{STTVBISJPGMAQJH7LEK6MIEAZU}

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	2026-05-20T00:02:48.897518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94e750a24979980824ff5915e62080cd339622933497869e43f4d48b3d0aff9f

Aliases

arxiv: 2503.10812 · arxiv_version: 2503.10812v2 · doi: 10.48550/arxiv.2503.10812 · pith_short_12: STTVBISJPGMA · pith_short_16: STTVBISJPGMAQJH7 · pith_short_8: STTVBISJ

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/STTVBISJPGMAQJH7LEK6MIEAZU \
  | 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: 94e750a24979980824ff5915e62080cd339622933497869e43f4d48b3d0aff9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12142bd2d68efae8262f56d6cf3d77268a1632cc8de79552dc5ccbb0af93a08",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-03-13T19:00:51Z",
    "title_canon_sha256": "1b591a543d7c859643bf921c2d7000630052b385e1edc86812394e57f1b9e704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.10812",
    "kind": "arxiv",
    "version": 2
  }
}