Pith Number

pith:BXGLB3RP

pith:2012:BXGLB3RPPTAI5I4OGZ4SKRSX4B

not attested not anchored not stored refs pending

On chemical distances and shape theorems in percolation models with long-range correlations

Alexander Drewitz, Artem Sapozhnikov, Balazs Rath

arxiv:1212.2885 v3 · 2012-12-12 · 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{BXGLB3RPPTAI5I4OGZ4SKRSX4B}

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	2026-05-18T02:41:17.294924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dccb0ee2f7cc08ea38e3679254657e0791edee29c0e289714edf9a7dfdf8b9b

Aliases

arxiv: 1212.2885 · arxiv_version: 1212.2885v3 · doi: 10.48550/arxiv.1212.2885 · pith_short_12: BXGLB3RPPTAI · pith_short_16: BXGLB3RPPTAI5I4O · pith_short_8: BXGLB3RP

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/BXGLB3RPPTAI5I4OGZ4SKRSX4B \
  | 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: 0dccb0ee2f7cc08ea38e3679254657e0791edee29c0e289714edf9a7dfdf8b9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ba5b5aa90396d223e2f96423394f3d270f34472c7682925830416b11964271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-12T17:03:56Z",
    "title_canon_sha256": "980f7a6e75b399182589bb81a1b0ee99990f912c5d804ba363de9af536dd88d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2885",
    "kind": "arxiv",
    "version": 3
  }
}