Pith Number

pith:H5LMZA2G

pith:2022:H5LMZA2GDIBLRFA3B55VJM5FP3

not attested not anchored not stored refs pending

Fractal geometry of the space-time difference profile in the directed landscape via construction of geodesic local times

Lingfu Zhang, Shirshendu Ganguly

arxiv:2204.01674 v2 · 2022-04-04 · 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{H5LMZA2GDIBLRFA3B55VJM5FP3}

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.

Cited by

2 papers in Pith

The KPZ fixed point and Brownian motion share the same null sets

Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape

Receipt and verification

First computed	2026-07-05T04:32:00.028757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f56cc83461a02b8941b0f7b54b3a57ed44fcb28bc51122d88799f20f28bd7d3

Aliases

arxiv: 2204.01674 · arxiv_version: 2204.01674v2 · doi: 10.48550/arxiv.2204.01674 · pith_short_12: H5LMZA2GDIBL · pith_short_16: H5LMZA2GDIBLRFA3 · pith_short_8: H5LMZA2G

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/H5LMZA2GDIBLRFA3B55VJM5FP3 \
  | 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: 3f56cc83461a02b8941b0f7b54b3a57ed44fcb28bc51122d88799f20f28bd7d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4e3be400246bbd25c0e45a5d9a85a153c79767e899bc1e16d4097bf7b16151",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-04-04T17:42:48Z",
    "title_canon_sha256": "6a3aecff6d1baf159ab3db1d6a48a76ac468ea69af169692a98a493a871f08e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01674",
    "kind": "arxiv",
    "version": 2
  }
}