Pith Number

pith:6TOW7DXJ

pith:2005:6TOW7DXJZTVD2UDAL5LSHZHUI6

not attested not anchored not stored refs pending

A Local limit theorem for directed polymers in random media: the continuous and the discrete case

Vincent Vargas (PMA)

arxiv:math/0503596 v1 · 2005-03-25 · 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{6TOW7DXJZTVD2UDAL5LSHZHUI6}

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	2026-05-18T01:38:26.874945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4dd6f8ee9ccea3d50605f5723e4f447bafd5d01c43c000baab3bf6b1ad005a6

Aliases

arxiv: math/0503596 · arxiv_version: math/0503596v1 · doi: 10.48550/arxiv.math/0503596 · pith_short_12: 6TOW7DXJZTVD · pith_short_16: 6TOW7DXJZTVD2UDA · pith_short_8: 6TOW7DXJ

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/6TOW7DXJZTVD2UDAL5LSHZHUI6 \
  | 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: f4dd6f8ee9ccea3d50605f5723e4f447bafd5d01c43c000baab3bf6b1ad005a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be03c8cad26fa410db217e4390b9a1c65aaed1f19e6aeecd8dfbd5d147d15a7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-03-25T13:11:56Z",
    "title_canon_sha256": "581a2516298adfe71636e64a877da693511c3442f439084dfc0a234c252df2c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503596",
    "kind": "arxiv",
    "version": 1
  }
}