Pith Number

pith:UZTN6BEY

pith:2025:UZTN6BEY25OCRIWSOZIEA33AWQ

not attested not anchored not stored refs pending

Infinite induced-saturated graphs

Alex Scott, Carla Groenland, Marthe Bonamy, Natasha Morrison, Tom Johnston

arxiv:2506.08810 v3 · 2025-06-10 · 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{UZTN6BEY25OCRIWSOZIEA33AWQ}

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	2026-07-05T12:02:47.006017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a666df0498d75c28a2d27650406f60b40617ce41f5d58cfcd0f652c27fed035a

Aliases

arxiv: 2506.08810 · arxiv_version: 2506.08810v3 · doi: 10.48550/arxiv.2506.08810 · pith_short_12: UZTN6BEY25OC · pith_short_16: UZTN6BEY25OCRIWS · pith_short_8: UZTN6BEY

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/UZTN6BEY25OCRIWSOZIEA33AWQ \
  | 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: a666df0498d75c28a2d27650406f60b40617ce41f5d58cfcd0f652c27fed035a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c2b9867696aa3abd989e3f82dc19a0f6c5b1a6deded065ea7f72a7927f57be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-10T14:00:59Z",
    "title_canon_sha256": "62612d90e1848a00a9e5bc7aca9481cb1c7a8fea4df55cf3a648669bf326f77d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08810",
    "kind": "arxiv",
    "version": 3
  }
}