Pith Number

pith:MBGWXDYM

pith:2016:MBGWXDYMREZ2IKVWFW6LL7VYS3

not attested not anchored not stored refs pending

A proof of Mader's conjecture on large clique subdivisions in $C_4$-free graphs

Hong Liu, Richard Montgomery

arxiv:1605.07791 v1 · 2016-05-25 · 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{MBGWXDYMREZ2IKVWFW6LL7VYS3}

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	2026-05-18T00:45:06.561455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604d6b8f0c8933a42ab62dbcb5feb896e05eb706b8eab7da30971a3baca36b45

Aliases

arxiv: 1605.07791 · arxiv_version: 1605.07791v1 · doi: 10.48550/arxiv.1605.07791 · pith_short_12: MBGWXDYMREZ2 · pith_short_16: MBGWXDYMREZ2IKVW · pith_short_8: MBGWXDYM

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/MBGWXDYMREZ2IKVWFW6LL7VYS3 \
  | 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: 604d6b8f0c8933a42ab62dbcb5feb896e05eb706b8eab7da30971a3baca36b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28a3e300f8b52c95aa323f0b41b91c0e814f2fb3bc224b8ab8e537fc2ed9ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-25T09:18:56Z",
    "title_canon_sha256": "6a899e5e0a1dac4ab1e66ed982c4145817a8abb3a2afb464ce0e549e27cc853f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07791",
    "kind": "arxiv",
    "version": 1
  }
}