Pith Number

pith:N7TKW6BK

pith:2004:N7TKW6BKSFZG6F7OYVFEEGLPO2

not attested not anchored not stored refs pending

Transport properties of directed percolation clusters at the upper critical dimension

Hans-Karl Janssen, Olaf Stenull

arxiv:cond-mat/0412369 v1 · 2004-12-14 · cond-mat.stat-mech · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7TKW6BKSFZG6F7OYVFEEGLPO2}

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	2026-07-04T16:47:35.179286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe6ab782a91726f17eec54a42196f769bb34587226e875849deb47d07ae4938

Aliases

arxiv: cond-mat/0412369 · arxiv_version: cond-mat/0412369v1 · doi: 10.48550/arxiv.cond-mat/0412369 · pith_short_12: N7TKW6BKSFZG · pith_short_16: N7TKW6BKSFZG6F7O · pith_short_8: N7TKW6BK

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/N7TKW6BKSFZG6F7OYVFEEGLPO2 \
  | 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: 6fe6ab782a91726f17eec54a42196f769bb34587226e875849deb47d07ae4938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c110e4721157a4139bd75abe553bf105b79048b78f9ce33d690c6cd74430a805",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-12-14T17:02:14Z",
    "title_canon_sha256": "505c0e96e45337fe720f130dc90472dde8c8bd2c32006051a0d53c17924a64e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0412369",
    "kind": "arxiv",
    "version": 1
  }
}