Pith Number

pith:IKG57ONP

pith:2025:IKG57ONPITXHPTY2BOU3GU6BJV

not attested not anchored not stored refs pending

Intersecting Families of Spanning Trees

Andrey Kupavskii, Ferdinand Ihringer, Glenn Hurlbert, Karen Meagher, Nathan Lindzey, Peter Frankl, Venkata Raghu Tej Pantangi

arxiv:2502.08128 v2 · 2025-02-12 · 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{IKG57ONPITXHPTY2BOU3GU6BJV}

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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	2026-07-05T11:43:09.592426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

428ddfb9af44ee77cf1a0ba9b353c14d779b55aa845a8aef04f0b34b921690b8

Aliases

arxiv: 2502.08128 · arxiv_version: 2502.08128v2 · doi: 10.48550/arxiv.2502.08128 · pith_short_12: IKG57ONPITXH · pith_short_16: IKG57ONPITXHPTY2 · pith_short_8: IKG57ONP

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/IKG57ONPITXHPTY2BOU3GU6BJV \
  | 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: 428ddfb9af44ee77cf1a0ba9b353c14d779b55aa845a8aef04f0b34b921690b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ac2beb5e37f3d4015b33fdadf750376f4c94af3f78df71c54490f4b3e102a1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-12T05:17:19Z",
    "title_canon_sha256": "d0e932477198a0357f5f2d938195bdfe166dac683cf8f6a4f5000ee0b701a945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08128",
    "kind": "arxiv",
    "version": 2
  }
}