Pith Number

pith:O4UPD7Q2

pith:2015:O4UPD7Q2VGYBTOD4H3BIG2YZIX

not attested not anchored not stored refs pending

Conformal invariance of boundary touching loops of FK Ising model

Antti Kemppainen, Stanislav Smirnov

arxiv:1509.08858 v3 · 2015-09-29 · 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{O4UPD7Q2VGYBTOD4H3BIG2YZIX}

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	2026-05-17T23:41:56.990466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7728f1fe1aa9b019b87c3ec2836b1945ee4a0b629ffe1456cfd6b3912e68e582

Aliases

arxiv: 1509.08858 · arxiv_version: 1509.08858v3 · doi: 10.48550/arxiv.1509.08858 · pith_short_12: O4UPD7Q2VGYB · pith_short_16: O4UPD7Q2VGYBTOD4 · pith_short_8: O4UPD7Q2

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/O4UPD7Q2VGYBTOD4H3BIG2YZIX \
  | 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: 7728f1fe1aa9b019b87c3ec2836b1945ee4a0b629ffe1456cfd6b3912e68e582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bcf7093a6ae0523f0df08ed525441c647522e80e67f5f694723df00a364af42",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-29T17:14:51Z",
    "title_canon_sha256": "5224f660706fdd1642ec0f75bcb409b3532efc719596a6610ebbcabf8eef7bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08858",
    "kind": "arxiv",
    "version": 3
  }
}