Pith Number

pith:I3WIJ3HE

pith:2025:I3WIJ3HE3LJPN4SPL3RICHNFZM

not attested not anchored not stored refs pending

BBP Phase Transition for an Extensive Number of Outliers

Alexander Maloney, Bernd Rosenow, Niklas Forner

arxiv:2511.18501 v2 · 2025-11-23 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3WIJ3HE3LJPN4SPL3RICHNFZM}

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.

Cited by

2 papers in Pith

Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer

Receipt and verification

First computed	2026-06-19T16:11:17.722394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ec84ece4dad2f6f24f5ee2811da5cb241354b72d2c655c87e16e50b97c2bdb

Aliases

arxiv: 2511.18501 · arxiv_version: 2511.18501v2 · doi: 10.48550/arxiv.2511.18501 · pith_short_12: I3WIJ3HE3LJP · pith_short_16: I3WIJ3HE3LJPN4SP · pith_short_8: I3WIJ3HE

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/I3WIJ3HE3LJPN4SPL3RICHNFZM \
  | 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: 46ec84ece4dad2f6f24f5ee2811da5cb241354b72d2c655c87e16e50b97c2bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841d3ea5db9880e8fc2257b577730b5e9faf6e11b25027974aca48ccd55a2bd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2025-11-23T15:37:56Z",
    "title_canon_sha256": "baf4736281a390b5f29ee7e94421d340b97b82f32b76d8215745a3173e81b887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.18501",
    "kind": "arxiv",
    "version": 2
  }
}