Pith Number

pith:YICGL3CY

pith:2026:YICGL3CYNTFILP2LIUHAADQHCQ

not attested not anchored not stored refs pending

Rooted Gibbs-DLR Measures in Planar Directed Polymers

Christopher Janjigian, Firas Rassoul-Agha, Timo Sepp\"al\"ainen

arxiv:2608.09881 v1 · 2026-08-10 · 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{YICGL3CYNTFILP2LIUHAADQHCQ}

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	2026-08-11T02:25:19.613616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20465ec586cca85bf4b450e000e0714005b7171386201b31622288c021f3fed

Aliases

arxiv: 2608.09881 · arxiv_version: 2608.09881v1 · doi: 10.48550/arxiv.2608.09881 · pith_short_12: YICGL3CYNTFI · pith_short_16: YICGL3CYNTFILP2L · pith_short_8: YICGL3CY

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/YICGL3CYNTFILP2LIUHAADQHCQ \
  | 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: c20465ec586cca85bf4b450e000e0714005b7171386201b31622288c021f3fed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e8e7cf2a01a9ecb59d123034f3df254db49e17f377cf9853e7ee8a6f1469df",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-10T17:33:42Z",
    "title_canon_sha256": "95c8f88c46b3a8c1a6873626e07c4d51006903c4c20406f5f7afa3d7d610bde4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09881",
    "kind": "arxiv",
    "version": 1
  }
}