Pith Number

pith:2SZHAMED

pith:2010:2SZHAMEDMDYPIUVIBIAQFU6RGZ

not attested not anchored not stored refs pending

On the range of a random walk in a torus and random interlacements

Eric Shellef, Eviatar B. Procaccia

arxiv:1007.1401 v4 · 2010-07-08 · 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{2SZHAMEDMDYPIUVIBIAQFU6RGZ}

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	2026-05-18T02:45:56.211947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b270308360f0f452a80a0102d3d13653b6100aa7edfe18c5d16201484fafb1

Aliases

arxiv: 1007.1401 · arxiv_version: 1007.1401v4 · doi: 10.48550/arxiv.1007.1401 · pith_short_12: 2SZHAMEDMDYP · pith_short_16: 2SZHAMEDMDYPIUVI · pith_short_8: 2SZHAMED

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/2SZHAMEDMDYPIUVIBIAQFU6RGZ \
  | 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: d4b270308360f0f452a80a0102d3d13653b6100aa7edfe18c5d16201484fafb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b3bc9b4672022155e529340100401694418d7e23b710f93b51bbcaabe055c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-08T15:20:39Z",
    "title_canon_sha256": "114840f8723405ce3a9168171c5b9b51a27fbbf01ca809d5bfde75be0ffc9bf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1401",
    "kind": "arxiv",
    "version": 4
  }
}