Pith Number

pith:O6ZQQLFT

pith:2024:O6ZQQLFTFWVXP4EMSNGA5XPQDV

not attested not anchored not stored refs pending

The Spherical model and the large-$N$ limit of the Spin $O(N)$ model via the Gaussian free field

Aleksandra Korzhenkova, Juhan Aru

arxiv:2405.04501 v2 · 2024-05-07 · math.PR · 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{O6ZQQLFTFWVXP4EMSNGA5XPQDV}

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	2026-07-05T12:04:12.726648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b3082cb32dab77f08c934c0eddf01d72a4f31f70b1e07484d06723fa18df5d

Aliases

arxiv: 2405.04501 · arxiv_version: 2405.04501v2 · doi: 10.48550/arxiv.2405.04501 · pith_short_12: O6ZQQLFTFWVX · pith_short_16: O6ZQQLFTFWVXP4EM · pith_short_8: O6ZQQLFT

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/O6ZQQLFTFWVXP4EMSNGA5XPQDV \
  | 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: 77b3082cb32dab77f08c934c0eddf01d72a4f31f70b1e07484d06723fa18df5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2719c5f14ef20a76c4696926b1fa4965243c2da124e264bd2f147833bad7ed84",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-05-07T17:21:34Z",
    "title_canon_sha256": "1fded0597c603152e9b5077cac0636c6be5c34c53bd7a00734a13491244020c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.04501",
    "kind": "arxiv",
    "version": 2
  }
}