Pith Number

pith:HX4T32JF

pith:2012:HX4T32JFMWCHNCO6NG2W7G4B4X

not attested not anchored not stored refs pending

KPZ Scaling Theory and the Semi-discrete Directed Polymer Model

Herbert Spohn

arxiv:1201.0645 v1 · 2012-01-03 · cond-mat.stat-mech · 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{HX4T32JFMWCHNCO6NG2W7G4B4X}

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	2026-05-18T04:05:17.000100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df93de92565847689de69b56f9b81e5c82ffb0ea6dd1be409e469f840c4a967

Aliases

arxiv: 1201.0645 · arxiv_version: 1201.0645v1 · doi: 10.48550/arxiv.1201.0645 · pith_short_12: HX4T32JFMWCH · pith_short_16: HX4T32JFMWCHNCO6 · pith_short_8: HX4T32JF

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/HX4T32JFMWCHNCO6NG2W7G4B4X \
  | 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: 3df93de92565847689de69b56f9b81e5c82ffb0ea6dd1be409e469f840c4a967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2190eb6d370579ee7cd6447f9c97f329d8e63b4e5a3434bf01ec8a14ded1af50",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-03T14:33:23Z",
    "title_canon_sha256": "7c82e5a318414a648ae5810eb22c40568dcaaa67b3d13e8460797ce2733fac34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0645",
    "kind": "arxiv",
    "version": 1
  }
}