Pith Number

pith:OJWO5S74

pith:2016:OJWO5S74OZQ576MYC2MPAGIFN6

not attested not anchored not stored refs pending

Alternating Arm Exponents for the Critical Planar Ising Model

Hao Wu

arxiv:1605.00985 v4 · 2016-05-03 · 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{OJWO5S74OZQ576MYC2MPAGIFN6}

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	2026-05-18T01:07:48.935309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726ceecbfc7661dff9981698f019056f86b6213daa218de91cc6eef277ee3268

Aliases

arxiv: 1605.00985 · arxiv_version: 1605.00985v4 · doi: 10.48550/arxiv.1605.00985 · pith_short_12: OJWO5S74OZQ5 · pith_short_16: OJWO5S74OZQ576MY · pith_short_8: OJWO5S74

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/OJWO5S74OZQ576MYC2MPAGIFN6 \
  | 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: 726ceecbfc7661dff9981698f019056f86b6213daa218de91cc6eef277ee3268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a67a1a9c19e4990cb20a2d3bbd26e1e7cd68b0d594757efbf01ce48b8ed2f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-03T16:59:51Z",
    "title_canon_sha256": "f58899300ddc5e7b5515e8c0de53fc518c53181faa12fd6155278b6405928501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00985",
    "kind": "arxiv",
    "version": 4
  }
}