Pith Number

pith:FK5H5KAR

pith:2012:FK5H5KARRYAQIOTM72HVVJUGE6

not attested not anchored not stored refs pending

The intermediate disorder regime for directed polymers in dimension $1+1$

Jeremy Quastel, Konstantin Khanin, Tom Alberts

arxiv:1202.4398 v3 · 2012-02-20 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FK5H5KARRYAQIOTM72HVVJUGE6}

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	2026-05-18T02:55:27.864869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aba7ea8118e01043a6cfe8f5aa686279480140cfa1454b7c00c3c68043b1e3a

Aliases

arxiv: 1202.4398 · arxiv_version: 1202.4398v3 · doi: 10.48550/arxiv.1202.4398 · pith_short_12: FK5H5KARRYAQ · pith_short_16: FK5H5KARRYAQIOTM · pith_short_8: FK5H5KAR

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/FK5H5KARRYAQIOTM72HVVJUGE6 \
  | 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: 2aba7ea8118e01043a6cfe8f5aa686279480140cfa1454b7c00c3c68043b1e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d286214088adcdb21b6250ec34e276f0b0d5c92b07ec37afc64e2c8afc7a3c18",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-20T17:46:46Z",
    "title_canon_sha256": "7304a8381c81c8a41729c05479cf4b937ce74e3dedd9fbbf01bc3078daa2bd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4398",
    "kind": "arxiv",
    "version": 3
  }
}