Pith Number

pith:QZUQZSS6

pith:2015:QZUQZSS6KL5342SF4VUZBFDNGQ

not attested not anchored not stored refs pending

The degree of the Alexander polynomial is an upper bound for the topological slice genus

Peter Feller

arxiv:1504.01064 v2 · 2015-04-04 · 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{QZUQZSS6KL5342SF4VUZBFDNGQ}

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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

A note on the topological slice genus of satellite knots

Receipt and verification

First computed	2026-05-18T00:33:04.457422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86690cca5e52fbbe6a45e56990946d342276ccc88e0ed88b915ff76b81d50799

Aliases

arxiv: 1504.01064 · arxiv_version: 1504.01064v2 · doi: 10.48550/arxiv.1504.01064 · pith_short_12: QZUQZSS6KL53 · pith_short_16: QZUQZSS6KL5342SF · pith_short_8: QZUQZSS6

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/QZUQZSS6KL5342SF4VUZBFDNGQ \
  | 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: 86690cca5e52fbbe6a45e56990946d342276ccc88e0ed88b915ff76b81d50799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709581e2bb6ec77f3c405a635ed8dd597797a10cf63fa8f42f913f923fd0b9d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-04T22:38:01Z",
    "title_canon_sha256": "f181194701c1b980f758cddd50377dabc58ebc2a69c93ed0b8e902c08fe73d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01064",
    "kind": "arxiv",
    "version": 2
  }
}