Pith Number

pith:VXSAAORC

pith:2026:VXSAAORC34WQGYQJOYHFH7TGMF

not attested not anchored not stored refs pending

Ensemble-level loopy message passing with generalized-edge closure for percolation

L.-H. Wang, Y.-M. Du

arxiv:2608.09397 v1 · 2026-08-10 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXSAAORC34WQGYQJOYHFH7TGMF}

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	2026-08-11T02:22:30.160706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade4003a22df2d036209760e53fe6661575efa29fdf137fb7449f6714bb03c35

Aliases

arxiv: 2608.09397 · arxiv_version: 2608.09397v1 · doi: 10.48550/arxiv.2608.09397 · pith_short_12: VXSAAORC34WQ · pith_short_16: VXSAAORC34WQGYQJ · pith_short_8: VXSAAORC

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/VXSAAORC34WQGYQJOYHFH7TGMF \
  | 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: ade4003a22df2d036209760e53fe6661575efa29fdf137fb7449f6714bb03c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "209d19c7a6fbc8473d6da507b4292c7181cf3ca1b3ad676b1811bc775c8b871b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-10T10:22:17Z",
    "title_canon_sha256": "d805e7bbae543e4b0740b41b302142ba201e93438dbaa7fa4a01034d231322b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09397",
    "kind": "arxiv",
    "version": 1
  }
}