Pith Number

pith:7Q6IT5WV

pith:2013:7Q6IT5WVLV33T6A2F76DM6O4DH

not attested not anchored not stored refs pending

Random walks in the quarter plane, discrete harmonic functions and conformal mappings

Kilian Raschel

arxiv:1301.5716 v2 · 2013-01-24 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Q6IT5WVLV33T6A2F76DM6O4DH}

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	2026-05-18T02:49:54.201043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3c89f6d55d77b9f81a2ffc3679dc19e79977ce07700ff1c4dfa44bd09b92d9

Aliases

arxiv: 1301.5716 · arxiv_version: 1301.5716v2 · doi: 10.48550/arxiv.1301.5716 · pith_short_12: 7Q6IT5WVLV33 · pith_short_16: 7Q6IT5WVLV33T6A2 · pith_short_8: 7Q6IT5WV

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/7Q6IT5WVLV33T6A2F76DM6O4DH \
  | 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: fc3c89f6d55d77b9f81a2ffc3679dc19e79977ce07700ff1c4dfa44bd09b92d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e265625a0da593d01bc460af18073decf99d36aea2458db21c801860a172aa4d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-24T07:05:44Z",
    "title_canon_sha256": "476359283abaac2366f3c91deb140f6fa9ebdbc644abf7bc00b48aae1c3d70be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5716",
    "kind": "arxiv",
    "version": 2
  }
}