Pith Number

pith:E55V4LH3

pith:2026:E55V4LH3KIEDGVMAOZOVCO5C2F

not attested not anchored not stored refs pending

Learning as Observable Matrix Dynamics: Diffusive Relaxations versus Phase Transitions

Igor Halperin

arxiv:2606.29679 v1 · 2026-06-29 · 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{E55V4LH3KIEDGVMAOZOVCO5C2F}

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	2026-06-30T02:17:30.407327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

277b5e2cfb5208335580765d513ba2d1631a0a98112a3fb1f31c08dc619daea0

Aliases

arxiv: 2606.29679 · arxiv_version: 2606.29679v1 · doi: 10.48550/arxiv.2606.29679 · pith_short_12: E55V4LH3KIED · pith_short_16: E55V4LH3KIEDGVMA · pith_short_8: E55V4LH3

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/E55V4LH3KIEDGVMAOZOVCO5C2F \
  | 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: 277b5e2cfb5208335580765d513ba2d1631a0a98112a3fb1f31c08dc619daea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be14948b4e1f20f16484dd127217b5454f8fb7c2c4252be775735070eba057f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-29T00:57:57Z",
    "title_canon_sha256": "42e2ec0e7b4bd659c68dee7d3822de0e0d926ee51b276fa4ed3d0e1e7ba9b6c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29679",
    "kind": "arxiv",
    "version": 1
  }
}