Pith Number

pith:PGHZI3Q4

pith:2023:PGHZI3Q4UMX7L5ZVK5LUKQE2SO

not attested not anchored not stored refs pending

Sampling planar tanglegrams and pairs of disjoint triangulations

Alexander E. Black, Alex McDonough, Garrett Nelson, Kevin Liu, Mei Yin, Michael C. Wigal, Youngho Yoo

arxiv:2304.05318 v1 · 2023-04-11 · 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{PGHZI3Q4UMX7L5ZVK5LUKQE2SO}

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	2026-07-05T06:00:17.952469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798f946e1ca32ff5f735575745409a939d2e1a0ef15e8a1b3adb238ea35ad927

Aliases

arxiv: 2304.05318 · arxiv_version: 2304.05318v1 · doi: 10.48550/arxiv.2304.05318 · pith_short_12: PGHZI3Q4UMX7 · pith_short_16: PGHZI3Q4UMX7L5ZV · pith_short_8: PGHZI3Q4

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/PGHZI3Q4UMX7L5ZVK5LUKQE2SO \
  | 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: 798f946e1ca32ff5f735575745409a939d2e1a0ef15e8a1b3adb238ea35ad927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b6bf8acadc33e869fca8c886c97472c56a489286796862fe08033ed9de67d0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-04-11T16:23:42Z",
    "title_canon_sha256": "3593388131badf75d08bab5874b69bfe0a1f331b3af2e1f8ac14bbccfead2417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.05318",
    "kind": "arxiv",
    "version": 1
  }
}