Pith Number

pith:O2FBMYYY

pith:2011:O2FBMYYYDLBRZI432F5XJRMMWO

not attested not anchored not stored refs pending

Nonintersecting paths with a staircase initial condition

Jonathan Breuer, Maurice Duits

arxiv:1105.0388 v2 · 2011-05-02 · 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{O2FBMYYYDLBRZI432F5XJRMMWO}

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	2026-05-18T03:59:12.358472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768a1663181ac31ca39bd17b74c58cb3a605b54bd3a33e9b9ee885a5d62a1f6f

Aliases

arxiv: 1105.0388 · arxiv_version: 1105.0388v2 · doi: 10.48550/arxiv.1105.0388 · pith_short_12: O2FBMYYYDLBR · pith_short_16: O2FBMYYYDLBRZI43 · pith_short_8: O2FBMYYY

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/O2FBMYYYDLBRZI432F5XJRMMWO \
  | 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: 768a1663181ac31ca39bd17b74c58cb3a605b54bd3a33e9b9ee885a5d62a1f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18f5101b5f0a84e30d91dd10b5076c00ef680464684d4f35f755f71bd07b0e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-02T17:50:07Z",
    "title_canon_sha256": "5febb61b4bd735a848aadadcc931ce42578c71a314cdf7fc4a44c8e112da6edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0388",
    "kind": "arxiv",
    "version": 2
  }
}