Pith Number

pith:A3YFJQGK

pith:2018:A3YFJQGKZBAQ5D2MUUPZKZF2EW

not attested not anchored not stored refs pending

Partitioning edge-coloured infinite complete bipartite graphs into monochromatic paths

Carl B\"urger, Max Pitz

arxiv:1808.09836 v1 · 2018-08-29 · 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{A3YFJQGKZBAQ5D2MUUPZKZF2EW}

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	2026-05-18T00:06:54.323876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f054c0cac8410e8f4ca51f9564ba25ad153a912b829d7e02c5e2306a90d347

Aliases

arxiv: 1808.09836 · arxiv_version: 1808.09836v1 · doi: 10.48550/arxiv.1808.09836 · pith_short_12: A3YFJQGKZBAQ · pith_short_16: A3YFJQGKZBAQ5D2M · pith_short_8: A3YFJQGK

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/A3YFJQGKZBAQ5D2MUUPZKZF2EW \
  | 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: 06f054c0cac8410e8f4ca51f9564ba25ad153a912b829d7e02c5e2306a90d347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55e292f722d893f9c5dc529d6a4d4427ff24f1769b44666ab505122efaa9d8b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-29T13:59:27Z",
    "title_canon_sha256": "0d5c9521f4eb819588d9dd9862ba528bd1de7c5c44799db2c966723521a55852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09836",
    "kind": "arxiv",
    "version": 1
  }
}