Pith Number

pith:2SJZSS7B

pith:2016:2SJZSS7BB5UKFCPOGYOJL5KXHK

not attested not anchored not stored refs pending

A Brooks type theorem for the maximum local edge connectivity

Bjarne Toft, Michael Stiebitz

arxiv:1603.09187 v1 · 2016-03-30 · 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{2SJZSS7BB5UKFCPOGYOJL5KXHK}

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	2026-05-18T01:18:01.216657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d493994be10f68a289ee361c95f5573aa95c86cbe85813b816f4aa0c290efd56

Aliases

arxiv: 1603.09187 · arxiv_version: 1603.09187v1 · doi: 10.48550/arxiv.1603.09187 · pith_short_12: 2SJZSS7BB5UK · pith_short_16: 2SJZSS7BB5UKFCPO · pith_short_8: 2SJZSS7B

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/2SJZSS7BB5UKFCPOGYOJL5KXHK \
  | 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: d493994be10f68a289ee361c95f5573aa95c86cbe85813b816f4aa0c290efd56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b653b164c822a67143936932bd30eb3ecd7b6794904e2536ff9f5e1ad4a0eedf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-30T13:42:27Z",
    "title_canon_sha256": "eb71c0b84cdc39bc4b92009d9ef8e57eb8047cc4ad745ed512f8e9bd859d6631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09187",
    "kind": "arxiv",
    "version": 1
  }
}