Pith Number

pith:VQXIZ4FV

pith:2018:VQXIZ4FVXJZU7QHUXQTFYGOIVU

not attested not anchored not stored refs pending

On the combinatorics of last passage percolation in a quarter square and $\mathrm{GOE}^2$ fluctuations

Dan Betea

arxiv:1809.06792 v2 · 2018-09-18 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQXIZ4FVXJZU7QHUXQTFYGOIVU}

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	2026-05-17T23:52:15.573790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2e8cf0b5ba734fc0f4bc265c19c8ad34038482695fed026c255068039c6f8f

Aliases

arxiv: 1809.06792 · arxiv_version: 1809.06792v2 · doi: 10.48550/arxiv.1809.06792 · pith_short_12: VQXIZ4FVXJZU · pith_short_16: VQXIZ4FVXJZU7QHU · pith_short_8: VQXIZ4FV

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/VQXIZ4FVXJZU7QHUXQTFYGOIVU \
  | 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: ac2e8cf0b5ba734fc0f4bc265c19c8ad34038482695fed026c255068039c6f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "062fcd7ba76c8fbeb2a18c74651dcbc8ddfe6570e499503bf9063ea1da152db4",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-18T15:20:43Z",
    "title_canon_sha256": "771d3ec7abcc2a96674ae46b3bac23317368f67928982a81d1063dfb9f885070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06792",
    "kind": "arxiv",
    "version": 2
  }
}