Pith Number

pith:CFRH6STV

pith:2016:CFRH6STVJX25I3J5XRV6R5YYET

not attested not anchored not stored refs pending

Intrinsic isoperimetry of the giant component of supercritical bond percolation in dimension two

Julian Gold

arxiv:1611.00351 v1 · 2016-11-01 · 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{CFRH6STVJX25I3J5XRV6R5YYET}

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	2026-05-18T01:00:41.015741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11627f4a754df5d46d3dbc6be8f71824f50d2ae361f320ffa7d8ab21b09f3151

Aliases

arxiv: 1611.00351 · arxiv_version: 1611.00351v1 · doi: 10.48550/arxiv.1611.00351 · pith_short_12: CFRH6STVJX25 · pith_short_16: CFRH6STVJX25I3J5 · pith_short_8: CFRH6STV

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/CFRH6STVJX25I3J5XRV6R5YYET \
  | 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: 11627f4a754df5d46d3dbc6be8f71824f50d2ae361f320ffa7d8ab21b09f3151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ef7d023213d01c419d26b2c699a76bc0eb177dc84a1abea60ccdc9a2b95a31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-01T19:52:23Z",
    "title_canon_sha256": "ab4d41512ed27fceb506b7a59d662c391464ce2303b24300d95ede2e5c651d6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00351",
    "kind": "arxiv",
    "version": 1
  }
}