Pith Number

pith:FD75RGFX

pith:2025:FD75RGFXJRJOF32KTICUEOIFBV

not attested not anchored not stored refs pending

A complete $t$-intersection theorem for families of spanning trees

Andrey Kupavskii, Elizaveta Iarovikova

arxiv:2507.17913 v1 · 2025-07-23 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD75RGFXJRJOF32KTICUEOIFBV}

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	2026-07-05T11:42:37.486787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ffd898b74c52e2ef4a9a054239050d4739afcb9ab86ddebd934a9e146a79eb

Aliases

arxiv: 2507.17913 · arxiv_version: 2507.17913v1 · doi: 10.48550/arxiv.2507.17913 · pith_short_12: FD75RGFXJRJO · pith_short_16: FD75RGFXJRJOF32K · pith_short_8: FD75RGFX

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/FD75RGFXJRJOF32KTICUEOIFBV \
  | 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: 28ffd898b74c52e2ef4a9a054239050d4739afcb9ab86ddebd934a9e146a79eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d357a1f4b3143bd193797847f025280ba6461390ab43c92375399011cb565a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-23T20:23:34Z",
    "title_canon_sha256": "35eb5ae6770cdd9a088cda30bbc9a6091191ebf09901e65f9bc19e200d7b922f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17913",
    "kind": "arxiv",
    "version": 1
  }
}