Pith Number

pith:AHTRGY3M

pith:2026:AHTRGY3M3UW6LFO47D7RPI4PWY

not attested not anchored not stored refs pending

Vertex-colored Tur\'{a}n theorems with applications in extremal hypergraph problems

Jianfeng Hou, Jinghua Deng, Wanfang Chen, Xizhi Liu, Yixiao Zhang

arxiv:2606.02210 v1 · 2026-06-01 · 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{AHTRGY3M3UW6LFO47D7RPI4PWY}

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	2026-06-02T03:04:53.178760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e713636cdd2de595dcf8ff17a38fb630cbb12849f340ca9b2b012a1ba4a83b

Aliases

arxiv: 2606.02210 · arxiv_version: 2606.02210v1 · doi: 10.48550/arxiv.2606.02210 · pith_short_12: AHTRGY3M3UW6 · pith_short_16: AHTRGY3M3UW6LFO4 · pith_short_8: AHTRGY3M

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/AHTRGY3M3UW6LFO47D7RPI4PWY \
  | 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: 01e713636cdd2de595dcf8ff17a38fb630cbb12849f340ca9b2b012a1ba4a83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1806eeaf2e63980006c6f5d96fdb13a2819e70eb76040f2a32d915167b2e4d4c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T13:10:40Z",
    "title_canon_sha256": "ba9dbc91f1717348ea0b3ba360b26fa8d5e658386117ebacd15060b5dcd97fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02210",
    "kind": "arxiv",
    "version": 1
  }
}