Pith Number

pith:6IO5RYTI

pith:2021:6IO5RYTIXGTWQZKTRFXDVBNYOF

not attested not anchored not stored refs pending

Convergence of Fermionic Observables in the Massive Planar FK-Ising Model

S. C. Park

arxiv:2103.04649 v3 · 2021-03-08 · 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{6IO5RYTIXGTWQZKTRFXDVBNYOF}

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	2026-07-05T04:59:11.325989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21dd8e268b9a7686553896e3a85b8715a17f4f92c93e16e83234740d7aefb0a

Aliases

arxiv: 2103.04649 · arxiv_version: 2103.04649v3 · doi: 10.48550/arxiv.2103.04649 · pith_short_12: 6IO5RYTIXGTW · pith_short_16: 6IO5RYTIXGTWQZKT · pith_short_8: 6IO5RYTI

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/6IO5RYTIXGTWQZKTRFXDVBNYOF \
  | 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: f21dd8e268b9a7686553896e3a85b8715a17f4f92c93e16e83234740d7aefb0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f227f918d38c8c41a84ca6919a30a1c1857015693c37274471e8b65d62bdb723",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-03-08T10:17:46Z",
    "title_canon_sha256": "e8daf88e2419dcf908ef3dce0d01c47aa1e158fed1be4d5b73195d4c83b19c04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.04649",
    "kind": "arxiv",
    "version": 3
  }
}