Pith Number

pith:IEE5O3XS

pith:2023:IEE5O3XSVCGUL2CSVWOA3SF2VK

not attested not anchored not stored refs pending

Multidimensional Contours \`a la Fr\"{o}hlich-Spencer and Boundary Conditions for Quantum Spin Systems

Lucas Affonso

arxiv:2310.07946 v1 · 2023-10-11 · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEE5O3XSVCGUL2CSVWOA3SF2VK}

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	2026-07-05T06:59:58.585662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4109d76ef2a88d45e852ad9c0dc8baaa9c285cc4237ecb74007e1d9a7567a659

Aliases

arxiv: 2310.07946 · arxiv_version: 2310.07946v1 · doi: 10.48550/arxiv.2310.07946 · pith_short_12: IEE5O3XSVCGU · pith_short_16: IEE5O3XSVCGUL2CS · pith_short_8: IEE5O3XS

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/IEE5O3XSVCGUL2CSVWOA3SF2VK \
  | 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: 4109d76ef2a88d45e852ad9c0dc8baaa9c285cc4237ecb74007e1d9a7567a659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07db26ed076e3928387a2eb95e72bd568e994b2c621e1c98037158c302e82e04",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-10-11T23:57:50Z",
    "title_canon_sha256": "9eaeb0bbdb25fce380da9fb5a5d965bc096bb1ea60a0eedb0bae8dde1c2896c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.07946",
    "kind": "arxiv",
    "version": 1
  }
}