Pith Number

pith:SI5Q7XPS

pith:2026:SI5Q7XPSZQKSSG6SR6YIAVJY4D

not attested not anchored not stored refs pending

Temperature chaos in directed polymers

Shirshendu Ganguly, Victor Ginsburg, Zoe Himwich

arxiv:2607.18194 v1 · 2026-07-20 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SI5Q7XPSZQKSSG6SR6YIAVJY4D}

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	2026-07-21T02:22:26.929211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

923b0fddf2cc15291bd28fb0805538e0def0ba8528cbe70769897ba10f06926a

Aliases

arxiv: 2607.18194 · arxiv_version: 2607.18194v1 · doi: 10.48550/arxiv.2607.18194 · pith_short_12: SI5Q7XPSZQKS · pith_short_16: SI5Q7XPSZQKSSG6S · pith_short_8: SI5Q7XPS

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/SI5Q7XPSZQKSSG6SR6YIAVJY4D \
  | 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: 923b0fddf2cc15291bd28fb0805538e0def0ba8528cbe70769897ba10f06926a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09eeda45f65ea33df2f9ec5b0c83499b1f200a343f67a7d9af173e8a39dd1de1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-20T17:35:17Z",
    "title_canon_sha256": "033c9a8b33e96345b5bc10dc65f32a563455e0d8b2426f4751295ebb7c3663a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18194",
    "kind": "arxiv",
    "version": 1
  }
}