Pith Number

pith:PVU35HBK

pith:2026:PVU35HBKKRTJZPX6CA4Z6X2E7O

not attested not anchored not stored refs pending

Exploring Line Bundle Standard Models with Transformers

Alessandro Mininno, Gary Shiu, Jacky H. T. Yip

arxiv:2607.00078 v1 · 2026-06-30 · hep-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{PVU35HBKKRTJZPX6CA4Z6X2E7O}

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	2026-07-02T00:18:33.437015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d69be9c2a54669cbefe10399f5f44fba32824bf62a49b101de1c4581c93b73d

Aliases

arxiv: 2607.00078 · arxiv_version: 2607.00078v1 · doi: 10.48550/arxiv.2607.00078 · pith_short_12: PVU35HBKKRTJ · pith_short_16: PVU35HBKKRTJZPX6 · pith_short_8: PVU35HBK

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/PVU35HBKKRTJZPX6CA4Z6X2E7O \
  | 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: 7d69be9c2a54669cbefe10399f5f44fba32824bf62a49b101de1c4581c93b73d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85089277833bcc9b29b43d2f8b3319e0759417b9a616007ff981509c3caa22c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-30T18:00:01Z",
    "title_canon_sha256": "e5923665145401fe77e0ce98945d0178d671753595814c2e26590f43c590afe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00078",
    "kind": "arxiv",
    "version": 1
  }
}