Pith Number

pith:ZRLYB6TU

pith:2025:ZRLYB6TUYOGEWOHTBAJ3HJQ5SM

not attested not anchored not stored refs pending

On the intersection of pairs of trees

Fabian Burghart, Miklos Bona, Stephan Wagner

arxiv:2501.18570 v2 · 2025-01-30 · 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{ZRLYB6TUYOGEWOHTBAJ3HJQ5SM}

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.

Cited by

1 paper in Pith

Intersecting Families of Spanning Trees of $K_{n,n}$

Receipt and verification

First computed	2026-07-05T11:17:23.295273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc5780fa74c38c4b38f30813b3a61d9301f97043104295f962a75ff17ccd9ad6

Aliases

arxiv: 2501.18570 · arxiv_version: 2501.18570v2 · doi: 10.48550/arxiv.2501.18570 · pith_short_12: ZRLYB6TUYOGE · pith_short_16: ZRLYB6TUYOGEWOHT · pith_short_8: ZRLYB6TU

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/ZRLYB6TUYOGEWOHTBAJ3HJQ5SM \
  | 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: cc5780fa74c38c4b38f30813b3a61d9301f97043104295f962a75ff17ccd9ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab761f42f1ebde0cc96dbf4fa33da686c2ba01381f635770499fd0a3845286b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-30T18:40:28Z",
    "title_canon_sha256": "a5a82f640a81ddcb5f6d6504058b221a11c467a31cb8dd8976dbadf60948618e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18570",
    "kind": "arxiv",
    "version": 2
  }
}