Pith Number

pith:AUXQBHHN

pith:2025:AUXQBHHNS3MSGAEKPEIHADXK5A

not attested not anchored not stored refs pending

Regular genus of $\mathbb{S}^2 \times \mathbb{S}^1 \times \mathbb{S}^1$, $4$-torus, and small covers over $\Delta^2 \times \Delta^2$

Anshu Agarwal, Biplab Basak

arxiv:2506.01315 v1 · 2025-06-02 · math.GT · 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{AUXQBHHNS3MSGAEKPEIHADXK5A}

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	2026-07-05T11:14:11.617760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

052f009ced96d923008a7910700eeae8026d969050264cb2744c5a964674b352

Aliases

arxiv: 2506.01315 · arxiv_version: 2506.01315v1 · doi: 10.48550/arxiv.2506.01315 · pith_short_12: AUXQBHHNS3MS · pith_short_16: AUXQBHHNS3MSGAEK · pith_short_8: AUXQBHHN

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/AUXQBHHNS3MSGAEKPEIHADXK5A \
  | 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: 052f009ced96d923008a7910700eeae8026d969050264cb2744c5a964674b352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058a07ee1d487667f57b3d867eb2229b7e7165c54fefed48d0dd4e10776c50f0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-02T04:55:54Z",
    "title_canon_sha256": "7924dd6bccc71a9305ee0443aabf6c90335c692fc23d998718c139f2eb3615b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01315",
    "kind": "arxiv",
    "version": 1
  }
}