Pith Number

pith:YFMLX5GD

pith:2016:YFMLX5GDSWY5ZR2KSHQ27HQH4H

not attested not anchored not stored refs pending

Improper coloring of graphs on surfaces

Ilkyoo Choi, Louis Esperet

arxiv:1603.02841 v3 · 2016-03-09 · 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{YFMLX5GDSWY5ZR2KSHQ27HQH4H}

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	2026-05-17T23:51:15.050695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c158bbf4c395b1dcc74a91e1af9e07e1d6a5ee963b3227d354d1f85ffd1a75af

Aliases

arxiv: 1603.02841 · arxiv_version: 1603.02841v3 · doi: 10.48550/arxiv.1603.02841 · pith_short_12: YFMLX5GDSWY5 · pith_short_16: YFMLX5GDSWY5ZR2K · pith_short_8: YFMLX5GD

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/YFMLX5GDSWY5ZR2KSHQ27HQH4H \
  | 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: c158bbf4c395b1dcc74a91e1af9e07e1d6a5ee963b3227d354d1f85ffd1a75af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11116bdba41787e6967997c2326cbe94f769141edf59d02c65c57e2ede522856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-09T10:58:00Z",
    "title_canon_sha256": "552eed1ba1b7732c538f73625be4f399e27b5c0e061cc66bdf9ec9e7b93dec60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02841",
    "kind": "arxiv",
    "version": 3
  }
}