Pith Number

pith:EGZ5SS2L

pith:2022:EGZ5SS2LODRPOULJE5EOOSBMVC

not attested not anchored not stored refs pending

Complete bipartite graphs flexible in the plane

M. D. Kovalev, S. Yu. Orevkov

arxiv:2212.11231 v2 · 2022-12-21 · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGZ5SS2LODRPOULJE5EOOSBMVC}

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	2026-07-05T09:43:21.900266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21b3d94b4b70e2f751692748e7482ca88d8f94d0471ab5dd4c12beaacee78af3

Aliases

arxiv: 2212.11231 · arxiv_version: 2212.11231v2 · doi: 10.48550/arxiv.2212.11231 · pith_short_12: EGZ5SS2LODRP · pith_short_16: EGZ5SS2LODRPOULJ · pith_short_8: EGZ5SS2L

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/EGZ5SS2LODRPOULJE5EOOSBMVC \
  | 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: 21b3d94b4b70e2f751692748e7482ca88d8f94d0471ab5dd4c12beaacee78af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23eae784fecc0a0d380e4837384423e1ee488962f305e0bc6fc9ef0b72adc7aa",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-21T17:57:37Z",
    "title_canon_sha256": "5972bbd1d1a41438b76378debb9abff655940908d87dfdfecaf34bebf9926a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11231",
    "kind": "arxiv",
    "version": 2
  }
}