Pith Number

pith:3KDCRPPL

pith:2010:3KDCRPPLEIH2UWHGUOCDYPGYKH

not attested not anchored not stored refs pending

Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization

Davar Khoshnevisan, Marc Wouts, Yueyun Hu

arxiv:1011.1452 v1 · 2010-11-05 · 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{3KDCRPPLEIH2UWHGUOCDYPGYKH}

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	2026-05-18T02:04:50.960217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8628bdeb220faa58e6a3843c3cd851e1044cd517e02dadcd000929d6140eb7

Aliases

arxiv: 1011.1452 · arxiv_version: 1011.1452v1 · doi: 10.48550/arxiv.1011.1452 · pith_short_12: 3KDCRPPLEIH2 · pith_short_16: 3KDCRPPLEIH2UWHG · pith_short_8: 3KDCRPPL

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/3KDCRPPLEIH2UWHGUOCDYPGYKH \
  | 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: da8628bdeb220faa58e6a3843c3cd851e1044cd517e02dadcd000929d6140eb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "863958337cc83b63e05563fd263d8b1a2cac3542b0c26925476a0363913c7fad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-05T16:40:31Z",
    "title_canon_sha256": "924cc42fabda1b3aa06ff99f9da7fea9e05ac72055f2609a0a35b1b4f9231aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1452",
    "kind": "arxiv",
    "version": 1
  }
}