Pith Number

pith:AYKJSJAY

pith:2025:AYKJSJAYRVQKIVMY7RQQCXN5IM

not attested not anchored not stored refs pending

Induced subgraphs of graphs with large deficiency

Jin Sun, Xinmin Hou

arxiv:2505.15149 v1 · 2025-05-21 · 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{AYKJSJAYRVQKIVMY7RQQCXN5IM}

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	2026-07-05T11:06:41.256008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06149924188d60a45598fc61015dbd433f1b84856e39d89ebdf72bcdd84def4b

Aliases

arxiv: 2505.15149 · arxiv_version: 2505.15149v1 · doi: 10.48550/arxiv.2505.15149 · pith_short_12: AYKJSJAYRVQK · pith_short_16: AYKJSJAYRVQKIVMY · pith_short_8: AYKJSJAY

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/AYKJSJAYRVQKIVMY7RQQCXN5IM \
  | 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: 06149924188d60a45598fc61015dbd433f1b84856e39d89ebdf72bcdd84def4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a64c24b66a1fb7f555654360d495f45e2555e34a7a3d762358937645b7706b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-21T06:07:36Z",
    "title_canon_sha256": "71b12c3bee63e4cabc7d24098c3a4913415533417b7727695adfdb638bbf5564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15149",
    "kind": "arxiv",
    "version": 1
  }
}