Pith Number

pith:W5VAG5ZA

pith:2026:W5VAG5ZAERMLIHR4MP2UODXBR6

not attested not anchored not stored refs pending

Scalable Physics-Inspired Transformers for Spin Glasses

Jing Liu, Lu Zhong, Pan Zhang, Wenli Duan, Ying Tang

arxiv:2606.22984 v1 · 2026-06-22 · cond-mat.dis-nn · cond-mat.stat-mech · 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{W5VAG5ZAERMLIHR4MP2UODXBR6}

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	2026-06-23T03:14:05.962181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76a0377202458b41e3c63f5470ee18fb59007b2198ba3811dec8ccaf522f91c

Aliases

arxiv: 2606.22984 · arxiv_version: 2606.22984v1 · doi: 10.48550/arxiv.2606.22984 · pith_short_12: W5VAG5ZAERML · pith_short_16: W5VAG5ZAERMLIHR4 · pith_short_8: W5VAG5ZA

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/W5VAG5ZAERMLIHR4MP2UODXBR6 \
  | 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: b76a0377202458b41e3c63f5470ee18fb59007b2198ba3811dec8ccaf522f91c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b56f67b0e7b449d368a795ca58db7613cdf5252d218a921fa08a7710947c60c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-22T08:04:53Z",
    "title_canon_sha256": "699ce5f3429c219e93d7ad6f961afd96962b05e42737ea61fbfc9c5a04a1bb62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22984",
    "kind": "arxiv",
    "version": 1
  }
}