Pith Number

pith:MH7TCBCA

pith:2018:MH7TCBCAG6Z7KGP6WUSTPSZ4H2

not attested not anchored not stored refs pending

Pattern occurrences in random planar maps

Benedikt Stufler, Michael Drmota

arxiv:1801.10007 v2 · 2018-01-30 · math.CO · 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{MH7TCBCAG6Z7KGP6WUSTPSZ4H2}

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	2026-05-17T23:45:58.169889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ff31044037b3f519feb52537cb3c3eb32bae20c546f7c05e39b48ba4821455

Aliases

arxiv: 1801.10007 · arxiv_version: 1801.10007v2 · doi: 10.48550/arxiv.1801.10007 · pith_short_12: MH7TCBCAG6Z7 · pith_short_16: MH7TCBCAG6Z7KGP6 · pith_short_8: MH7TCBCA

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/MH7TCBCAG6Z7KGP6WUSTPSZ4H2 \
  | 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: 61ff31044037b3f519feb52537cb3c3eb32bae20c546f7c05e39b48ba4821455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2da4103cbf00109e6687bb93f0af538a83b31d1c845e0025c85d4fd975283d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-30T14:28:32Z",
    "title_canon_sha256": "b66695bc63baeeb69c8a4a3b14360c0db42a40e9e7f81beca0c2e8ce943e8e0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10007",
    "kind": "arxiv",
    "version": 2
  }
}