Pith Number

pith:XN4G62SE

pith:2010:XN4G62SEQV3ELNKW77455KL2UZ

not attested not anchored not stored refs pending

Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment

Benedek Valk\'o, Timo Sepp\"al\"ainen

arxiv:1006.4864 v2 · 2010-06-24 · 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{XN4G62SEQV3ELNKW77455KL2UZ}

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	2026-05-18T04:13:45.860896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb786f6a44857645b556fff9dea97aa67cb925ec76b635b4d5595261b85f624c

Aliases

arxiv: 1006.4864 · arxiv_version: 1006.4864v2 · doi: 10.48550/arxiv.1006.4864 · pith_short_12: XN4G62SEQV3E · pith_short_16: XN4G62SEQV3ELNKW · pith_short_8: XN4G62SE

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/XN4G62SEQV3ELNKW77455KL2UZ \
  | 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: bb786f6a44857645b556fff9dea97aa67cb925ec76b635b4d5595261b85f624c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd46244b8da42fc2b383eee85c8f418689ddfd57d0307b4c377a440e5c678df",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-06-24T19:39:12Z",
    "title_canon_sha256": "479e312215a4c92a1b2ba8a673ce8d624d168a104343faf358ccde5fc253e2e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4864",
    "kind": "arxiv",
    "version": 2
  }
}