Pith Number

pith:CABNLVRI

pith:2026:CABNLVRI2H4YLXOZAJ4YQJQGUK

not attested not anchored not stored refs pending

A stability theorem for embedding bounded degree spanning trees

B\'ela Csaba

arxiv:2605.29080 v1 · 2026-05-27 · 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{CABNLVRI2H4YLXOZAJ4YQJQGUK}

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	2026-05-29T01:05:17.282192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1002d5d628d1f985ddd90279882606a2816b6f32ff4a33e544fb4895455245fb

Aliases

arxiv: 2605.29080 · arxiv_version: 2605.29080v1 · doi: 10.48550/arxiv.2605.29080 · pith_short_12: CABNLVRI2H4Y · pith_short_16: CABNLVRI2H4YLXOZ · pith_short_8: CABNLVRI

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/CABNLVRI2H4YLXOZAJ4YQJQGUK \
  | 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: 1002d5d628d1f985ddd90279882606a2816b6f32ff4a33e544fb4895455245fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e256af20374c893a65180fdb24fe02f8005967b8a4315529e73655d2662bd5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T20:35:06Z",
    "title_canon_sha256": "0da1ef15bbe5ce1c7fe506fde96151cca4dd33e4fb2f3d9e1bea480b46a8bd9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29080",
    "kind": "arxiv",
    "version": 1
  }
}