Pith Number

pith:45AH5O5E

pith:2026:45AH5O5EGRKX2M5V6GTNMFM3PL

not attested not anchored not stored refs pending

Cross-Validation in Bipartite Networks

Bokai Yang, Yuanxing Chen, Yuhong Yang

arxiv:2603.11719 v2 · 2026-03-12 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45AH5O5EGRKX2M5V6GTNMFM3PL}

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	2026-05-20T00:00:36.499954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7407ebba434557d33b5f1a6d6159b7ac4de8c774f430ad1b9fb394c73df98c3

Aliases

arxiv: 2603.11719 · arxiv_version: 2603.11719v2 · doi: 10.48550/arxiv.2603.11719 · pith_short_12: 45AH5O5EGRKX · pith_short_16: 45AH5O5EGRKX2M5V · pith_short_8: 45AH5O5E

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/45AH5O5EGRKX2M5V6GTNMFM3PL \
  | 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: e7407ebba434557d33b5f1a6d6159b7ac4de8c774f430ad1b9fb394c73df98c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c698b874a1513322681bbae8a76515806a9916b4006e6e621d635227e6a6fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-03-12T09:24:57Z",
    "title_canon_sha256": "a09bf5df53cff55eb67546c277a16176477d31e56f434d1c05389ba549e9139f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.11719",
    "kind": "arxiv",
    "version": 2
  }
}