Pith Number

pith:6LG3C25I

pith:2010:6LG3C25IJ5CP5TFVUJ2EIMDLQX

not attested not anchored not stored refs pending

Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation

Akira Sakai, Lung-Chi Chen

arxiv:1002.0875 v3 · 2010-02-04 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LG3C25IJ5CP5TFVUJ2EIMDLQX}

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	2026-05-18T04:26:54.749641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2cdb16ba84f44feccb5a27444306b85c50a980bd09a8bae6ff61cca8be01636

Aliases

arxiv: 1002.0875 · arxiv_version: 1002.0875v3 · doi: 10.48550/arxiv.1002.0875 · pith_short_12: 6LG3C25IJ5CP · pith_short_16: 6LG3C25IJ5CP5TFV · pith_short_8: 6LG3C25I

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/6LG3C25IJ5CP5TFVUJ2EIMDLQX \
  | 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: f2cdb16ba84f44feccb5a27444306b85c50a980bd09a8bae6ff61cca8be01636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39de30c735f993ab2c1bc5f2b83520fa5fa3cedede18040ecf931ff47a0fa8b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-02-04T01:42:13Z",
    "title_canon_sha256": "1e3dad9933738c2864362edb257145d596e41ec1a8eeb4e63366be406086a775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0875",
    "kind": "arxiv",
    "version": 3
  }
}