Pith Number

pith:VSKQZGLT

pith:2026:VSKQZGLTYQZS3ERR2VBABSJQ5P

not attested not anchored not stored refs pending

Dimensional and Spin Interpolation for the O$(n)$ Model: From Exact Anchors to RG-Improved Critical Exponents

Kumar Ghosh

arxiv:2607.10865 v1 · 2026-07-12 · cond-mat.stat-mech · math-ph · math.MP · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSKQZGLTYQZS3ERR2VBABSJQ5P}

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	2026-07-14T01:21:44.241204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac950c9973c4332d9231d54200c930ebe0c8e6dda9e06524694ef8208e617342

Aliases

arxiv: 2607.10865 · arxiv_version: 2607.10865v1 · doi: 10.48550/arxiv.2607.10865 · pith_short_12: VSKQZGLTYQZS · pith_short_16: VSKQZGLTYQZS3ERR · pith_short_8: VSKQZGLT

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/VSKQZGLTYQZS3ERR2VBABSJQ5P \
  | 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: ac950c9973c4332d9231d54200c930ebe0c8e6dda9e06524694ef8208e617342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce314254c536a38b936017bfb195377e53035c6692cb58f7d107099d4ab1530",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-12T18:00:08Z",
    "title_canon_sha256": "0abcf9fed64c8b8085da4af58855d726ca260fddb78df901e59d973be4d7402a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10865",
    "kind": "arxiv",
    "version": 1
  }
}