Pith Number

pith:TMLQZKUN

pith:2012:TMLQZKUNZ2LCOYLPBYQZYQK7O2

not attested not anchored not stored refs pending

Bounds of percolation thresholds on hyperbolic lattices

Junghoon F. Lee, Seung Ki Baek

arxiv:1212.4916 v2 · 2012-12-20 · 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{TMLQZKUNZ2LCOYLPBYQZYQK7O2}

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	2026-05-18T03:37:40.469200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b170caa8dce9627616f0e219c415f76bb3d9b4c71ac051ba0f46fae1ec2f86f

Aliases

arxiv: 1212.4916 · arxiv_version: 1212.4916v2 · doi: 10.48550/arxiv.1212.4916 · pith_short_12: TMLQZKUNZ2LC · pith_short_16: TMLQZKUNZ2LCOYLP · pith_short_8: TMLQZKUN

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/TMLQZKUNZ2LCOYLPBYQZYQK7O2 \
  | 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: 9b170caa8dce9627616f0e219c415f76bb3d9b4c71ac051ba0f46fae1ec2f86f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85bc87711f6b2d437d15dd676682b9a94b5ffe2c69315ecbb6b58acba1922942",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-20T04:01:56Z",
    "title_canon_sha256": "27b5d3d8046ecb9557e1540e29c99fd7ed6cd4154e7d2751e85824efbf714b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4916",
    "kind": "arxiv",
    "version": 2
  }
}