Pith Number

pith:67IT73LW

pith:2026:67IT73LWLKMC7UBWLJDWF5Y3UU

not attested not anchored not stored refs pending

The inducibility of 6-vertex graphs

Jared Le\'on, Jun Gao, Levente Bodn\'ar, Oleg Pikhurko, Shumin Sun, Xizhi Liu

arxiv:2606.00290 v1 · 2026-05-29 · 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{67IT73LWLKMC7UBWLJDWF5Y3UU}

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	2026-06-02T01:03:50.806811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d13fed765a982fd0365a4762f71ba51e986819f433d445a14821c02d78e922

Aliases

arxiv: 2606.00290 · arxiv_version: 2606.00290v1 · doi: 10.48550/arxiv.2606.00290 · pith_short_12: 67IT73LWLKMC · pith_short_16: 67IT73LWLKMC7UBW · pith_short_8: 67IT73LW

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/67IT73LWLKMC7UBWLJDWF5Y3UU \
  | 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: f7d13fed765a982fd0365a4762f71ba51e986819f433d445a14821c02d78e922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c25d2921f19018b7547bc7e55ce74789aa50a5051f299e87fcfc8a4d6c4da7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-29T19:22:36Z",
    "title_canon_sha256": "c88d969061d14959a4ac73606c0b85a4d05cbec83fb529a6ea852097c848f35e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00290",
    "kind": "arxiv",
    "version": 1
  }
}