Pith Number

pith:NXPV6A25

pith:2010:NXPV6A25ZOOCC3AQ7DBR7J3VAM

not attested not anchored not stored refs pending

Kauffman bracket skein module of the connected sum of two projective spaces

Maciej Mroczkowski

arxiv:1008.1007 v1 · 2010-08-05 · 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{NXPV6A25ZOOCC3AQ7DBR7J3VAM}

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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 module of the connected sum of two solid tori

Receipt and verification

First computed	2026-05-18T04:42:34.803705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ddf5f035dcb9c216c10f8c31fa77503243ba7ecf757a5fae71794f4cacfcf9b

Aliases

arxiv: 1008.1007 · arxiv_version: 1008.1007v1 · doi: 10.48550/arxiv.1008.1007 · pith_short_12: NXPV6A25ZOOC · pith_short_16: NXPV6A25ZOOCC3AQ · pith_short_8: NXPV6A25

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/NXPV6A25ZOOCC3AQ7DBR7J3VAM \
  | 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: 6ddf5f035dcb9c216c10f8c31fa77503243ba7ecf757a5fae71794f4cacfcf9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b092b0ddfb76144c9f9c2656b319bbd3f05ae197707622438d4be13c79de7405",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-05T15:46:22Z",
    "title_canon_sha256": "97d41a6d8aa41c4f542f880d1c57efbd280f0254754f077ffca437ae560d0918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1007",
    "kind": "arxiv",
    "version": 1
  }
}