Pith Number

pith:HF5IJPE7

pith:2016:HF5IJPE76VEKLE2BI6XJPO2M5K

not attested not anchored not stored refs pending

Upper and Lower Critical Decay Exponents of Ising Ferromagnets with Long-range Interaction

Hidemaro Suwa, Synge Todo, Toshiki Horita

arxiv:1605.09496 v3 · 2016-05-31 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HF5IJPE76VEKLE2BI6XJPO2M5K}

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	2026-05-18T00:34:15.910738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

397a84bc9ff548a5934147ae97bb4ceab7f9dc2e9e565dd82d34d3934352a38d

Aliases

arxiv: 1605.09496 · arxiv_version: 1605.09496v3 · doi: 10.48550/arxiv.1605.09496 · pith_short_12: HF5IJPE76VEK · pith_short_16: HF5IJPE76VEKLE2B · pith_short_8: HF5IJPE7

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/HF5IJPE76VEKLE2BI6XJPO2M5K \
  | 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: 397a84bc9ff548a5934147ae97bb4ceab7f9dc2e9e565dd82d34d3934352a38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e4db120dd5b0015fcee328402b1f559a35575e1273268ed9e46ab01b0dec5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-05-31T04:46:54Z",
    "title_canon_sha256": "33dcccda4c4194db2c0b8a158bf4cc3bbd8440d751fd5939164aacaa375049a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09496",
    "kind": "arxiv",
    "version": 3
  }
}