Pith Number

pith:72DIUY3F

pith:2026:72DIUY3FRNM3HFW4NJPGC3L244

not attested not anchored not stored refs pending

Exact extremal constructions for the inducibility of blowup graphs

Wanfang Chen, Xizhi Liu

arxiv:2606.06202 v1 · 2026-06-04 · 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{72DIUY3FRNM3HFW4NJPGC3L244}

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	2026-06-05T01:15:37.150075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe868a63658b59b396dc6a5e616d7ae720c91f8b75fc05a9a2e9df683a2c43da

Aliases

arxiv: 2606.06202 · arxiv_version: 2606.06202v1 · doi: 10.48550/arxiv.2606.06202 · pith_short_12: 72DIUY3FRNM3 · pith_short_16: 72DIUY3FRNM3HFW4 · pith_short_8: 72DIUY3F

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/72DIUY3FRNM3HFW4NJPGC3L244 \
  | 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: fe868a63658b59b396dc6a5e616d7ae720c91f8b75fc05a9a2e9df683a2c43da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d0dfa2ff5f8f5eba99dd7bcea285134cf7103e5f07e5e94ad79d1a72a14eca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-04T14:07:23Z",
    "title_canon_sha256": "84b33802371aced773f51c16dd48833029fe103f8a6a6227ddd2e3a2763a70b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06202",
    "kind": "arxiv",
    "version": 1
  }
}