Pith Number

pith:LHNERCO7

pith:2026:LHNERCO7OS2H5SYIMKXKYRLGLF

not attested not anchored not stored refs pending

Reachability and asymptotics of Gaussian Transformer dynamics

Albert Alcalde, Enrique Zuazua, Zhengping Ji

arxiv:2606.07600 v1 · 2026-05-29 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHNERCO7OS2H5SYIMKXKYRLGLF}

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	2026-06-09T00:04:44.494092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59da4889df74b47ecb0862aeac456659438e31544dcefe245f9102046dc142d5

Aliases

arxiv: 2606.07600 · arxiv_version: 2606.07600v1 · doi: 10.48550/arxiv.2606.07600 · pith_short_12: LHNERCO7OS2H · pith_short_16: LHNERCO7OS2H5SYI · pith_short_8: LHNERCO7

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/LHNERCO7OS2H5SYIMKXKYRLGLF \
  | 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: 59da4889df74b47ecb0862aeac456659438e31544dcefe245f9102046dc142d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e97c9838c3405209cb0ec8ebfa6e54ed1483dc2ba19e06c911759f6dc700e35",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-29T07:51:03Z",
    "title_canon_sha256": "ab3ce9abdad751d39440f6e0a7097cb6b9b718c12be2b9bcdf6429f665b03769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07600",
    "kind": "arxiv",
    "version": 1
  }
}