Pith Number

pith:R6D3HBCK

pith:2025:R6D3HBCKHFBAOSOFRV4WLSKFYA

not attested not anchored not stored refs pending

Spectral Tur\'{a}n problem of non-bipartite graphs: Forbidden books

Lu Miao, Ruifang Liu

arxiv:2506.04884 v1 · 2025-06-05 · 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{R6D3HBCKHFBAOSOFRV4WLSKFYA}

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	2026-07-05T11:16:38.497032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f87b3844a39420749c58d7965c945c022e42aba59a384e7762b9d04783089ea

Aliases

arxiv: 2506.04884 · arxiv_version: 2506.04884v1 · doi: 10.48550/arxiv.2506.04884 · pith_short_12: R6D3HBCKHFBA · pith_short_16: R6D3HBCKHFBAOSOF · pith_short_8: R6D3HBCK

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/R6D3HBCKHFBAOSOFRV4WLSKFYA \
  | 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: 8f87b3844a39420749c58d7965c945c022e42aba59a384e7762b9d04783089ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83d76c679ccf23cb1e9a7165693d95dec42cb9849fbe30564680d08b1ae7697",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-05T11:03:45Z",
    "title_canon_sha256": "07d0af84a4bcd14f21aaccfe36726d4d300e9dd5e387e6b26b0d01fd4029712a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04884",
    "kind": "arxiv",
    "version": 1
  }
}