Pith Number

pith:RGWDAK5R

pith:2026:RGWDAK5ROZFXDKW54Z2RVWBWGP

not attested not anchored not stored refs pending

Supersaturation in Nosal graphs: Triangles and books

Hongzhang Chen, Quanyu Tang, Yongtao Li

arxiv:2607.16746 v1 · 2026-07-18 · 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{RGWDAK5ROZFXDKW54Z2RVWBWGP}

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

On a spectral booksize problem fo non bipartite graphs

Receipt and verification

First computed	2026-07-21T01:20:24.893272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89ac302bb1764b71aadde6751ad83633ff24e923741fd10656026e9016d9a370

Aliases

arxiv: 2607.16746 · arxiv_version: 2607.16746v1 · doi: 10.48550/arxiv.2607.16746 · pith_short_12: RGWDAK5ROZFX · pith_short_16: RGWDAK5ROZFXDKW5 · pith_short_8: RGWDAK5R

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/RGWDAK5ROZFXDKW54Z2RVWBWGP \
  | 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: 89ac302bb1764b71aadde6751ad83633ff24e923741fd10656026e9016d9a370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d641cdd72a9ac31ea00a898b61eedd6cf9dad335994b6897b3c0985856940a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-18T10:16:58Z",
    "title_canon_sha256": "3b8df7f3fafd2057bf5f82b21e037fcaa9dfd4bd01f8b29e435aeebace69d8fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16746",
    "kind": "arxiv",
    "version": 1
  }
}