Pith Number

pith:ODZZTGSC

pith:2010:ODZZTGSC3YTOHZXZIMLDMQNFTQ

not attested not anchored not stored refs pending

Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations

Masato Takei, Yasunari Higuchi, Yu Zhang

arxiv:1010.1586 v1 · 2010-10-08 · 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{ODZZTGSC3YTOHZXZIMLDMQNFTQ}

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	2026-05-18T04:39:40.181371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f3999a42de26e3e6f943163641a59c32219ca475fc1c8f7faaefdbe44a4ead

Aliases

arxiv: 1010.1586 · arxiv_version: 1010.1586v1 · doi: 10.48550/arxiv.1010.1586 · pith_short_12: ODZZTGSC3YTO · pith_short_16: ODZZTGSC3YTOHZXZ · pith_short_8: ODZZTGSC

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/ODZZTGSC3YTOHZXZIMLDMQNFTQ \
  | 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: 70f3999a42de26e3e6f943163641a59c32219ca475fc1c8f7faaefdbe44a4ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbcca42095881b2b025a4588e951e5748d289cb2fe30bc6063d1bfba4a9837aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-08T03:58:44Z",
    "title_canon_sha256": "31d9fdf6e9198aaef59257f5dfe6c7af5b45c038f2f4e37fc9043bc7e452f97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1586",
    "kind": "arxiv",
    "version": 1
  }
}