Pith Number

pith:N4FANHGL

pith:2019:N4FANHGLY5CMNI5ME2DV76MHDE

not attested not anchored not stored refs pending

Colored unavoidable patterns and balanceable graphs

Adriana Hansberg, Alp M\"uyesser, Amanda Montejano, Matt Bowen

arxiv:1912.06302 v3 · 2019-12-13 · 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{N4FANHGLY5CMNI5ME2DV76MHDE}

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

2 papers in Pith

On the balanceability of some graph classes

The balancing number and list balancing number of some graph classes

Receipt and verification

First computed	2026-07-05T02:58:03.225716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0a069ccbc744c6a3ac26875ff98719146d7cd119848992df0672dc345d5dc3

Aliases

arxiv: 1912.06302 · arxiv_version: 1912.06302v3 · doi: 10.48550/arxiv.1912.06302 · pith_short_12: N4FANHGLY5CM · pith_short_16: N4FANHGLY5CMNI5M · pith_short_8: N4FANHGL

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/N4FANHGLY5CMNI5ME2DV76MHDE \
  | 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: 6f0a069ccbc744c6a3ac26875ff98719146d7cd119848992df0672dc345d5dc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c7b959d9da0c1c2badabb01a1816274a63aa604c17ae9696022986a95b7467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-13T02:50:01Z",
    "title_canon_sha256": "8962716802da69c15988c4eb3a5b1421bf6e9e1466e4e724282c42f5613d8ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.06302",
    "kind": "arxiv",
    "version": 3
  }
}