Pith Number

pith:4NRDGPFD

pith:2024:4NRDGPFDTHAVHJ2ASDODENVH46

not attested not anchored not stored refs pending

Kauffman bracket skein module of two families of Seifert manifolds

Minyi Liang, Shangjun Shi, Xiao Wang

arxiv:2409.09438 v3 · 2024-09-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NRDGPFDTHAVHJ2ASDODENVH46}

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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

Kauffman bracket skein algebra of the 4-holed disk

Receipt and verification

First computed	2026-07-05T11:00:39.071610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e362333ca399c153a74090dc3236a7e78aa25b5ff89a5a9397368822b8a267e0

Aliases

arxiv: 2409.09438 · arxiv_version: 2409.09438v3 · doi: 10.48550/arxiv.2409.09438 · pith_short_12: 4NRDGPFDTHAV · pith_short_16: 4NRDGPFDTHAVHJ2A · pith_short_8: 4NRDGPFD

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/4NRDGPFDTHAVHJ2ASDODENVH46 \
  | 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: e362333ca399c153a74090dc3236a7e78aa25b5ff89a5a9397368822b8a267e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60130665968e394f9be1839f8bb53c2d49f678771881d28f7f56209539a7f094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-14T13:39:30Z",
    "title_canon_sha256": "0616b4574c05a9a3ac2ee67e079793905c1e6f9f51d1da8853cf8489c0880775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.09438",
    "kind": "arxiv",
    "version": 3
  }
}