Pith Number

pith:3HGWSRP7

pith:2026:3HGWSRP7VGCTANG5U5OWFB6FIK

not attested not anchored not stored refs pending

Toward a Unified Statistical Theory of Unsupervised Pretraining and Supervised Neural Knowledge Graph Learning

Jifan Zhang, Miklos Racz, Suqi Liu

arxiv:2607.26346 v1 · 2026-07-28 · math.ST · cs.SI · stat.ME · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HGWSRP7VGCTANG5U5OWFB6FIK}

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	2026-07-30T01:18:07.614806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

d9cd6945ffa9853034dda75d6287c5428dac7c475ab065aede8bda032b28a4fe

Aliases

arxiv: 2607.26346 · arxiv_version: 2607.26346v1 · doi: 10.48550/arxiv.2607.26346 · pith_short_12: 3HGWSRP7VGCT · pith_short_16: 3HGWSRP7VGCTANG5 · pith_short_8: 3HGWSRP7

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/3HGWSRP7VGCTANG5U5OWFB6FIK \
  | 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: d9cd6945ffa9853034dda75d6287c5428dac7c475ab065aede8bda032b28a4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898df72a405cafb37f0d8f18aa8b26949f7ecc6c659081fca04d54db8ecabadb",
    "cross_cats_sorted": [
      "cs.SI",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-28T23:40:49Z",
    "title_canon_sha256": "e9be5f039e3baa9d1f0be807fa39f524201e8be1302053975911b52245c38c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26346",
    "kind": "arxiv",
    "version": 1
  }
}