Pith Number

pith:TLEP3J47

pith:2012:TLEP3J47DD24QXGIHNHI3Y5SIB

not attested not anchored not stored refs pending

Upper transition point for percolation on the enhanced binary tree: A sharpened lower bound

Seung Ki Baek

arxiv:1205.4786 v1 · 2012-05-22 · 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{TLEP3J47DD24QXGIHNHI3Y5SIB}

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	2026-05-18T03:55:11.662135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac8fda79f18f5c85cc83b4e8de3b24072830847233a6723d7bbe56c5374eccb

Aliases

arxiv: 1205.4786 · arxiv_version: 1205.4786v1 · doi: 10.48550/arxiv.1205.4786 · pith_short_12: TLEP3J47DD24 · pith_short_16: TLEP3J47DD24QXGI · pith_short_8: TLEP3J47

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/TLEP3J47DD24QXGIHNHI3Y5SIB \
  | 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: 9ac8fda79f18f5c85cc83b4e8de3b24072830847233a6723d7bbe56c5374eccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7181cd072674db3045ead750781903bec8c1f842eca62366c3d52b957e19cc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-05-22T01:51:05Z",
    "title_canon_sha256": "7e64f88fd12f57490a89067172c2ec1cbf299ca3e21f4acedaa2ea07df5a4a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4786",
    "kind": "arxiv",
    "version": 1
  }
}