Pith Number

pith:QVKIHSWL

pith:2012:QVKIHSWLIOX3U6TM6EEIX3UI3O

not attested not anchored not stored refs pending

Lower bound on the number of the maximum genus embedding of $K_{n,n}$

Guanghua Dong, Han Ren, Ning Wang, Yuanqiu Huang

arxiv:1203.0855 v1 · 2012-03-05 · 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{QVKIHSWLIOX3U6TM6EEIX3UI3O}

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	2026-05-18T04:00:50.349369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855483cacb43afba7a6cf1088bee88db928b7de4044cde0a14a5f82f42cdbb8b

Aliases

arxiv: 1203.0855 · arxiv_version: 1203.0855v1 · doi: 10.48550/arxiv.1203.0855 · pith_short_12: QVKIHSWLIOX3 · pith_short_16: QVKIHSWLIOX3U6TM · pith_short_8: QVKIHSWL

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/QVKIHSWLIOX3U6TM6EEIX3UI3O \
  | 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: 855483cacb43afba7a6cf1088bee88db928b7de4044cde0a14a5f82f42cdbb8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4398c2811b766fd84352effe2e01c6598514bc511d61f8961ec6e99c0e163a51",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-05T10:39:20Z",
    "title_canon_sha256": "0f82e8dc361e1d28f93ababfa085b6a809d61f711dd50a8ba0405228705749cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0855",
    "kind": "arxiv",
    "version": 1
  }
}