Pith Number

pith:O667DD64

pith:2021:O667DD64M5XBMAPUUHCLTUGIFG

not attested not anchored not stored refs pending

Point Fields of Last Passage Percolation and Coalescing Fractional Brownian Motions

Konstantin Khanin, Liying Li, Zhanghan Yin

arxiv:2112.02247 v3 · 2021-12-04 · 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{O667DD64M5XBMAPUUHCLTUGIFG}

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	2026-07-05T04:39:24.234386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77bdf18fdc676e1601f4a1c4b9d0c829a396cbfb97b62c5ff81276022234672c

Aliases

arxiv: 2112.02247 · arxiv_version: 2112.02247v3 · doi: 10.48550/arxiv.2112.02247 · pith_short_12: O667DD64M5XB · pith_short_16: O667DD64M5XBMAPU · pith_short_8: O667DD64

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/O667DD64M5XBMAPUUHCLTUGIFG \
  | 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: 77bdf18fdc676e1601f4a1c4b9d0c829a396cbfb97b62c5ff81276022234672c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d2b5ab524f34e670468ce910f94f518052f210892a7827edf18be8ceffe104",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-12-04T05:16:34Z",
    "title_canon_sha256": "f9106dc0d0dacbeea23ae3fa750cb0d86664f119b0783915c1d72d6003b793d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02247",
    "kind": "arxiv",
    "version": 3
  }
}