Pith Number

pith:PPR6TMTC

pith:2014:PPR6TMTCJDZFXXSEQCKPDEGRUM

not attested not anchored not stored refs pending

The dimension of the Incipient Infinite Cluster

Wouter Cames van Batenburg

arxiv:1405.7606 v1 · 2014-05-29 · 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{PPR6TMTCJDZFXXSEQCKPDEGRUM}

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	2026-05-18T02:50:50.881978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be3e9b26248f25bde448094f190d1a30e15ce6c43992ac00582c40a510c2fe7

Aliases

arxiv: 1405.7606 · arxiv_version: 1405.7606v1 · doi: 10.48550/arxiv.1405.7606 · pith_short_12: PPR6TMTCJDZF · pith_short_16: PPR6TMTCJDZFXXSE · pith_short_8: PPR6TMTC

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/PPR6TMTCJDZFXXSEQCKPDEGRUM \
  | 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: 7be3e9b26248f25bde448094f190d1a30e15ce6c43992ac00582c40a510c2fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ee7aa4531e54062ea61fb9d15878f062cc2495b2efe7d8b9f8a58a52aa0fe6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-29T16:22:14Z",
    "title_canon_sha256": "07fcec0f6d386762ecc8b937bc36ebd8a3bf26ca989695d401a990d7a69e3414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7606",
    "kind": "arxiv",
    "version": 1
  }
}