Pith Number

pith:5SAZN5AT

pith:2023:5SAZN5ATNDSCMGZ2AWIUEK5D5M

not attested not anchored not stored refs pending

The binomial random graph is a bad inducer

Fan Wei, Marcus Michelen, Vishesh Jain

arxiv:2306.13014 v2 · 2023-06-22 · 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{5SAZN5ATNDSCMGZ2AWIUEK5D5M}

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.

Cited by

1 paper in Pith

The semi-inducibility problem

Receipt and verification

First computed	2026-07-05T08:58:19.680895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec8196f41368e4261b3a0591422ba3eb3e7b9cfd195f744caec5f556ff6e706d

Aliases

arxiv: 2306.13014 · arxiv_version: 2306.13014v2 · doi: 10.48550/arxiv.2306.13014 · pith_short_12: 5SAZN5ATNDSC · pith_short_16: 5SAZN5ATNDSCMGZ2 · pith_short_8: 5SAZN5AT

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/5SAZN5ATNDSCMGZ2AWIUEK5D5M \
  | 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: ec8196f41368e4261b3a0591422ba3eb3e7b9cfd195f744caec5f556ff6e706d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf45698ac7b5688847f6eca925ed98b7c43745a110f030accfc4f40ca83c071",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-22T16:23:21Z",
    "title_canon_sha256": "289f2ed0a8cfe21cd0dc1bf7a470bd54a18219da090c7d4d84e195b78f9f2bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.13014",
    "kind": "arxiv",
    "version": 2
  }
}