Pith Number

pith:SVTFQG33

pith:2026:SVTFQG33ARD6XNR436Q4Y3YDTS

not attested not anchored not stored refs pending

Rainbow triangles in edge-colored graphs with large minimum color degree

Bo Ning, Yuting Tian

arxiv:2606.22106 v1 · 2026-06-20 · 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{SVTFQG33ARD6XNR436Q4Y3YDTS}

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	2026-06-23T02:13:28.372698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9566581b7b0447ebb63cdfa1cc6f039cbba3f8093ae7198909490ff170800365

Aliases

arxiv: 2606.22106 · arxiv_version: 2606.22106v1 · doi: 10.48550/arxiv.2606.22106 · pith_short_12: SVTFQG33ARD6 · pith_short_16: SVTFQG33ARD6XNR4 · pith_short_8: SVTFQG33

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/SVTFQG33ARD6XNR436Q4Y3YDTS \
  | 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: 9566581b7b0447ebb63cdfa1cc6f039cbba3f8093ae7198909490ff170800365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ae401dd8dd8a17077da650065f4ee4aaf49e211760c6cae3da42a175b46107",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-20T15:40:42Z",
    "title_canon_sha256": "1fe61284d573152690d78d609fd80cd9f0227f3284f97713a1ee6ba1c43e0094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22106",
    "kind": "arxiv",
    "version": 1
  }
}