Pith Number

pith:5XKZZUQ4

pith:2026:5XKZZUQ4O73V5LYQZBL6KORRTX

not attested not anchored not stored refs pending

Multimodal Graph Negative Learning

Guang Zeng, Guoren Wang, Hongchao Qin, Rong-Hua Li, Xunkai Li, Xu Wang, Zhengyu Wu

arxiv:2606.12863 v1 · 2026-06-11 · 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{5XKZZUQ4O73V5LYQZBL6KORRTX}

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	2026-06-12T01:08:55.445031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd59cd21c77f75eaf10c857e53a319ded243973d0ae3d88121f83998aee13f8

Aliases

arxiv: 2606.12863 · arxiv_version: 2606.12863v1 · doi: 10.48550/arxiv.2606.12863 · pith_short_12: 5XKZZUQ4O73V · pith_short_16: 5XKZZUQ4O73V5LYQ · pith_short_8: 5XKZZUQ4

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/5XKZZUQ4O73V5LYQZBL6KORRTX \
  | 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: edd59cd21c77f75eaf10c857e53a319ded243973d0ae3d88121f83998aee13f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b334be3f7ba8a5606b9484e8af447f1104cbfaabca2ffe184ff4c648fcff92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-11T03:47:03Z",
    "title_canon_sha256": "c8099bc3e3549bc812430761ff28680f5f17a53248bf635e1314f552ffbbe683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12863",
    "kind": "arxiv",
    "version": 1
  }
}