Pith Number

pith:GGQP62IK

pith:2023:GGQP62IKXUAX5HCYPTN5RC4V4W

not attested not anchored not stored refs pending

Settling the nonorientable genus of the nearly complete bipartite graphs

Timothy Sun, Warren Singh

arxiv:2305.14048 v1 · 2023-05-23 · 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{GGQP62IKXUAX5HCYPTN5RC4V4W}

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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-07-05T06:13:00.572408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a0ff690abd017e9c587cdbd88b95e5a7470714f01868f63a62a14ef0b3dad5

Aliases

arxiv: 2305.14048 · arxiv_version: 2305.14048v1 · doi: 10.48550/arxiv.2305.14048 · pith_short_12: GGQP62IKXUAX · pith_short_16: GGQP62IKXUAX5HCY · pith_short_8: GGQP62IK

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/GGQP62IKXUAX5HCYPTN5RC4V4W \
  | 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: 31a0ff690abd017e9c587cdbd88b95e5a7470714f01868f63a62a14ef0b3dad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3823d2eff4c7c64ad50b340c2759a29536b2f406c9655cc487dfcb10114761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-23T13:24:20Z",
    "title_canon_sha256": "95ac5697a95bcafe43899c6e0026cbed9dde0dedda571614ddfbe6a69e4c857f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.14048",
    "kind": "arxiv",
    "version": 1
  }
}