pith. sign in
Pith Number

pith:VN2LKPYB

pith:2009:VN2LKPYBTVK6KJHNVDK2QMZKLA
not attested not anchored not stored refs pending

Scaling for a one-dimensional directed polymer with boundary conditions

Timo Sepp\"al\"ainen

arxiv:0911.2446 v4 · 2009-11-12 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VN2LKPYBTVK6KJHNVDK2QMZKLA}

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 2026-05-18T01:34:42.495475Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ab74b53f019d55e524eda8d5a8332a5812a4465e1f7526000a1d954414bb7a9a

Aliases

arxiv: 0911.2446 · arxiv_version: 0911.2446v4 · doi: 10.48550/arxiv.0911.2446 · pith_short_12: VN2LKPYBTVK6 · pith_short_16: VN2LKPYBTVK6KJHN · pith_short_8: VN2LKPYB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VN2LKPYBTVK6KJHNVDK2QMZKLA \
  | 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: ab74b53f019d55e524eda8d5a8332a5812a4465e1f7526000a1d954414bb7a9a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9f56040a360965d92531213fd65122fdaf3c3febd798004da9f1d5537c870155",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-12T19:03:20Z",
    "title_canon_sha256": "5efb74a503ac92afaa6d7526d7aaa33bf2452479a0d940a75a8637963d102060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2446",
    "kind": "arxiv",
    "version": 4
  }
}