Pith Number

pith:GQV3NMDO

pith:2008:GQV3NMDONESOZ6EIDSQYEQP4WX

not attested not anchored not stored refs pending

Almost-rainbow edge-colorings of some small subgraphs

Elliot Krop, Irina Krop

arxiv:0803.0572 v3 · 2008-03-04 · 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{GQV3NMDONESOZ6EIDSQYEQP4WX}

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	2026-05-18T03:00:27.633344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

342bb6b06e6924ecf8881ca18241fcb5fb42efd83dd8f43a2162257a979bf65b

Aliases

arxiv: 0803.0572 · arxiv_version: 0803.0572v3 · doi: 10.48550/arxiv.0803.0572 · pith_short_12: GQV3NMDONESO · pith_short_16: GQV3NMDONESOZ6EI · pith_short_8: GQV3NMDO

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/GQV3NMDONESOZ6EIDSQYEQP4WX \
  | 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: 342bb6b06e6924ecf8881ca18241fcb5fb42efd83dd8f43a2162257a979bf65b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c5e7b131a2ce4b062a6de99db779e2875bf940ba33ee5cc22209ae8054111e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-03-04T23:44:41Z",
    "title_canon_sha256": "33cf79b7480738ef277e090232a10e1f5f3672f655a2aabe64788e1803456801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0572",
    "kind": "arxiv",
    "version": 3
  }
}