Pith Number

pith:5FDIGGL6

pith:2012:5FDIGGL6XCQ74YSDWLWNULR572

not attested not anchored not stored refs pending

Asymmetric $2$-colorings of graphs

Erica Flapan, Madeline Wyse, Sarah Rundell

arxiv:1206.1945 v4 · 2012-06-09 · math.CO · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FDIGGL6XCQ74YSDWLWNULR572}

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	2026-05-18T01:07:57.183940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e94683197eb8a1fe6243b2ecda2e3dfe9f00ebff255739f7407fd8f00db646fc

Aliases

arxiv: 1206.1945 · arxiv_version: 1206.1945v4 · doi: 10.48550/arxiv.1206.1945 · pith_short_12: 5FDIGGL6XCQ7 · pith_short_16: 5FDIGGL6XCQ74YSD · pith_short_8: 5FDIGGL6

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/5FDIGGL6XCQ74YSDWLWNULR572 \
  | 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: e94683197eb8a1fe6243b2ecda2e3dfe9f00ebff255739f7407fd8f00db646fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c519bfdc19d7bc036064028797bb7512946138c98ad9ba85f0e76e0d7f0667",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-09T14:42:54Z",
    "title_canon_sha256": "0545383fdaf7f953f789dc2cbde3a708267c850422b2edc12cc1af156b678262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1945",
    "kind": "arxiv",
    "version": 4
  }
}