Pith Number

pith:LHIIKOJE

pith:2013:LHIIKOJE2ZX2GHOBB6F22UQWYZ

not attested not anchored not stored refs pending

Recurrence of bipartite planar maps

Jakob E. Bj\"ornberg, Sigurdur Orn Stefansson

arxiv:1311.0178 v2 · 2013-11-01 · 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{LHIIKOJE2ZX2GHOBB6F22UQWYZ}

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	2026-05-18T02:43:09.311529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d0853924d66fa31dc10f8bad5216c67d1be4bd8eb1b89f395467eee2bd0002

Aliases

arxiv: 1311.0178 · arxiv_version: 1311.0178v2 · doi: 10.48550/arxiv.1311.0178 · pith_short_12: LHIIKOJE2ZX2 · pith_short_16: LHIIKOJE2ZX2GHOB · pith_short_8: LHIIKOJE

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/LHIIKOJE2ZX2GHOBB6F22UQWYZ \
  | 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: 59d0853924d66fa31dc10f8bad5216c67d1be4bd8eb1b89f395467eee2bd0002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73274a1cd93d46640e6a5c2ad4efdd22b44e8c05cb84708ad161be5dac64884c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-01T13:30:01Z",
    "title_canon_sha256": "ee64319982a40ec9302f0eaebf4d5f1bc98e61415d6d74402b068ac89d887a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0178",
    "kind": "arxiv",
    "version": 2
  }
}