Pith Number

pith:KZ3FOM3B

pith:2015:KZ3FOM3BBBGISIVS7YAWRFZSRC

not attested not anchored not stored refs pending

The high-temperature behavior for the directed polymer in dimension 1+2

Hubert Lacoin, Quentin Berger

arxiv:1506.09055 v1 · 2015-06-30 · math-ph · math.MP · 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{KZ3FOM3BBBGISIVS7YAWRFZSRC}

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	2026-05-18T01:37:33.762713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5676573361084c8922b2fe01689732889117de9c1bd6c7e525fee85350a61464

Aliases

arxiv: 1506.09055 · arxiv_version: 1506.09055v1 · doi: 10.48550/arxiv.1506.09055 · pith_short_12: KZ3FOM3BBBGI · pith_short_16: KZ3FOM3BBBGISIVS · pith_short_8: KZ3FOM3B

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/KZ3FOM3BBBGISIVS7YAWRFZSRC \
  | 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: 5676573361084c8922b2fe01689732889117de9c1bd6c7e525fee85350a61464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28332e87b56ce4d25ede7b01a29f5b54b943db0d6332ca13b710a188c3210a71",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-30T12:25:45Z",
    "title_canon_sha256": "b83089e0455ef56c33e88b781b01a105a1ca7ab467af67050ae2e36c5c826e5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09055",
    "kind": "arxiv",
    "version": 1
  }
}