Pith Number

pith:E2XBGKWZ

pith:2011:E2XBGKWZ5CD2ODUT2BNYB56CKT

not attested not anchored not stored refs pending

Conformal invariance of the exploration path in 2-d critical bond percolation in the square lattice

Jonathan Tsai, S. C. P. Yam, Wang Zhou

arxiv:1112.2017 v5 · 2011-12-09 · 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{E2XBGKWZ5CD2ODUT2BNYB56CKT}

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	2026-05-18T02:21:27.343608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ae132ad9e887a70e93d05b80f7c254fb833ffb018e2405f6699ecdf361e061

Aliases

arxiv: 1112.2017 · arxiv_version: 1112.2017v5 · doi: 10.48550/arxiv.1112.2017 · pith_short_12: E2XBGKWZ5CD2 · pith_short_16: E2XBGKWZ5CD2ODUT · pith_short_8: E2XBGKWZ

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/E2XBGKWZ5CD2ODUT2BNYB56CKT \
  | 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: 26ae132ad9e887a70e93d05b80f7c254fb833ffb018e2405f6699ecdf361e061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffe5088234e77fc33574aef123c62503bf3a5870d9fff22fb761498e829c6813",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-09T04:48:14Z",
    "title_canon_sha256": "3f919d151783992f84ecc67b9975a52161ac569c549cdc6c80eb355fa4fd556b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2017",
    "kind": "arxiv",
    "version": 5
  }
}