Pith Number

pith:GZKMY7XC

pith:2015:GZKMY7XCHFBWA72ZGU3V7SAFMM

not attested not anchored not stored refs pending

Directed random polymers via nested contour integrals

Alexei Borodin, Alexey Bufetov, Ivan Corwin

arxiv:1511.07324 v1 · 2015-11-23 · math-ph · cond-mat.stat-mech · 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{GZKMY7XCHFBWA72ZGU3V7SAFMM}

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	2026-05-18T01:16:45.253152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3654cc7ee23943607f5935375fc80563373465f9d39384455d61389d16cbb188

Aliases

arxiv: 1511.07324 · arxiv_version: 1511.07324v1 · doi: 10.48550/arxiv.1511.07324 · pith_short_12: GZKMY7XCHFBW · pith_short_16: GZKMY7XCHFBWA72Z · pith_short_8: GZKMY7XC

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/GZKMY7XCHFBWA72ZGU3V7SAFMM \
  | 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: 3654cc7ee23943607f5935375fc80563373465f9d39384455d61389d16cbb188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357c82a867ed66c2de6a5aec66d50130a3adafba4906e1cab7c8b821b9b446cd",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-23T17:24:19Z",
    "title_canon_sha256": "7c98e3826d204b0c10bff354d29f2cb001c10cf54498724fe39f4001417db674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07324",
    "kind": "arxiv",
    "version": 1
  }
}