Pith Number

pith:N7LJYDFK

pith:2025:N7LJYDFKWYRK5I4GF4SBYYNCN5

not attested not anchored not stored refs pending

Critical Ising correlations on a torus

Baran Bayraktaroglu, Konstantin Izyurov

arxiv:2506.11324 v1 · 2025-06-12 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7LJYDFKWYRK5I4GF4SBYYNCN5}

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	2026-07-05T11:21:02.547438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd69c0caab622aea3862f241c61a26f4af0d473fb4a4d63af30dd69ed673fba

Aliases

arxiv: 2506.11324 · arxiv_version: 2506.11324v1 · doi: 10.48550/arxiv.2506.11324 · pith_short_12: N7LJYDFKWYRK · pith_short_16: N7LJYDFKWYRK5I4G · pith_short_8: N7LJYDFK

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/N7LJYDFKWYRK5I4GF4SBYYNCN5 \
  | 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: 6fd69c0caab622aea3862f241c61a26f4af0d473fb4a4d63af30dd69ed673fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce3f703a086e81c9286f2a2c3a49da3879f9edc9e8c592e5e7125d2ae04dbab",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-12T21:46:22Z",
    "title_canon_sha256": "afc255824215477793ee90b497ef993ba6b1f17792346aa2c321e24e1eef581f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11324",
    "kind": "arxiv",
    "version": 1
  }
}