Pith Number

pith:OS7QJH4K

pith:2021:OS7QJH4KDHM3XQF4KTY67MO57T

not attested not anchored not stored refs pending

The scaling limit of the longest increasing subsequence

B\'alint Vir\'ag, Duncan Dauvergne

arxiv:2104.08210 v3 · 2021-04-16 · 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{OS7QJH4KDHM3XQF4KTY67MO57T}

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

6 papers in Pith

Classification of the eternal solutions and multiple coalescing shocks in the KPZ fixed point

The Martin boundary of the Directed Landscape

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

The directed landscape in half-space

Receipt and verification

First computed	2026-07-05T05:05:43.435463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74bf049f8a19d9bbc0bc54f1efb1ddfcc71b45d0e621b3280294af95a72623fc

Aliases

arxiv: 2104.08210 · arxiv_version: 2104.08210v3 · doi: 10.48550/arxiv.2104.08210 · pith_short_12: OS7QJH4KDHM3 · pith_short_16: OS7QJH4KDHM3XQF4 · pith_short_8: OS7QJH4K

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/OS7QJH4KDHM3XQF4KTY67MO57T \
  | 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: 74bf049f8a19d9bbc0bc54f1efb1ddfcc71b45d0e621b3280294af95a72623fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe25ae08b4f3dfb5ceab96940040f6fd121f6b34e2d5763931ea0d7ce6c99c65",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-04-16T16:36:29Z",
    "title_canon_sha256": "1a2635ead95cd04bea244e9e9815e9a6463210bd42a9e0883f6094c33a4beed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08210",
    "kind": "arxiv",
    "version": 3
  }
}