Pith Number

pith:2LUPYPIP

pith:2009:2LUPYPIPL4GJIUI5HZMT2NLJLT

not attested not anchored not stored refs pending

The $Z_2$ staggered vertex model and its applications

Hubert Saleur, Jesper Lykke Jacobsen, Yacine Ikhlef

arxiv:0911.3003 v1 · 2009-11-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LUPYPIPL4GJIUI5HZMT2NLJLT}

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	2026-05-18T02:10:47.308304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e8fc3d0f5f0c94511d3e593d35695cfc7bbad5df9937374b09d9d15d140eda

Aliases

arxiv: 0911.3003 · arxiv_version: 0911.3003v1 · doi: 10.48550/arxiv.0911.3003 · pith_short_12: 2LUPYPIPL4GJ · pith_short_16: 2LUPYPIPL4GJIUI5 · pith_short_8: 2LUPYPIP

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/2LUPYPIPL4GJIUI5HZMT2NLJLT \
  | 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: d2e8fc3d0f5f0c94511d3e593d35695cfc7bbad5df9937374b09d9d15d140eda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "724caf17018f2ea18f3b9a0a8fca5a4b9c93fe0688bdf61b0b2b7a2a38460f23",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-16T10:57:15Z",
    "title_canon_sha256": "c4bca3a37f71d382c31fa1fc8c74ca21d8c92715a89eb54f997edb0824a7c35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3003",
    "kind": "arxiv",
    "version": 1
  }
}