Pith Number

pith:73KA2Z6S

pith:2026:73KA2Z6SNV2IYLDF2OWRTP3RSB

not attested not anchored not stored refs pending

From Trajectories to Prefixes: Reusing Teacher Trajectories via Replayed Prefixes and Online Continuation

Haoran Sun, Hongke Zhao, Jiale Huang, Likang Wu, Yihan Wang, Zhong Guan

arxiv:2607.19395 v1 · 2026-07-03 · 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{73KA2Z6SNV2IYLDF2OWRTP3RSB}

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	2026-07-23T00:23:47.888866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed40d67d26d748c2c65d3ad19bf71905ef2de62188b5f0afae15dfc969a7093

Aliases

arxiv: 2607.19395 · arxiv_version: 2607.19395v1 · doi: 10.48550/arxiv.2607.19395 · pith_short_12: 73KA2Z6SNV2I · pith_short_16: 73KA2Z6SNV2IYLDF · pith_short_8: 73KA2Z6S

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/73KA2Z6SNV2IYLDF2OWRTP3RSB \
  | 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: fed40d67d26d748c2c65d3ad19bf71905ef2de62188b5f0afae15dfc969a7093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d71d76c74843e484b253ea41ba4c94509e590de371b34fe4becc6bbea3e632f4",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-03T05:07:22Z",
    "title_canon_sha256": "cf55aaf860ef34e9341229cb5f7700fad8c44d3b498f2fc055ebd0894901e546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19395",
    "kind": "arxiv",
    "version": 1
  }
}