Pith Number

pith:3B4RTOGS

pith:2026:3B4RTOGSMQBSB6SLXBNCNU2PSL

not attested not anchored not stored refs pending

HERO: History-Enriched Rollout Training for Long-Horizon Autoregressive Neural Operators

Chaoning Zhang, Fan Mo, Haifan Meng, Jiaquan Zhang, Shuxu Chen, Wei Dong, Yang Yang, Yi Lu, Zhihan Lyu

arxiv:2607.29135 v1 · 2026-07-31 · 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{3B4RTOGSMQBSB6SLXBNCNU2PSL}

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	2026-08-03T01:19:59.272007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87919b8d2640320fa4bb85a26d34f92d688581bf644d089d0f3948f58459d6f

Aliases

arxiv: 2607.29135 · arxiv_version: 2607.29135v1 · doi: 10.48550/arxiv.2607.29135 · pith_short_12: 3B4RTOGSMQBS · pith_short_16: 3B4RTOGSMQBSB6SL · pith_short_8: 3B4RTOGS

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/3B4RTOGSMQBSB6SLXBNCNU2PSL \
  | 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: d87919b8d2640320fa4bb85a26d34f92d688581bf644d089d0f3948f58459d6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83313ac3c02d76008c229e72a60780ebc22d357921cbec1d8b5540419ac47290",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-31T08:05:46Z",
    "title_canon_sha256": "abc31a65aafc45ab12f2fb65720d4cd307cb89fea7758726a80eab4450fbaa7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29135",
    "kind": "arxiv",
    "version": 1
  }
}