Pith Number

pith:43226DNS

pith:2025:43226DNSRPRFJHZ64BSMSC2UKJ

not attested not anchored not stored refs pending

On the connected sums of the $(2,1)$-cable of the figure eight knot

Masaki Taniguchi, Yoshihiro Fukumoto

arxiv:2501.07910 v1 · 2025-01-14 · 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{43226DNSRPRFJHZ64BSMSC2UKJ}

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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

Simply slicing knots

Receipt and verification

First computed	2026-07-05T10:00:52.461255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f5af0db28be2549f3ee064c90b54527be5716c4f4a2621a0efd421fac13dce

Aliases

arxiv: 2501.07910 · arxiv_version: 2501.07910v1 · doi: 10.48550/arxiv.2501.07910 · pith_short_12: 43226DNSRPRF · pith_short_16: 43226DNSRPRFJHZ6 · pith_short_8: 43226DNS

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/43226DNSRPRFJHZ64BSMSC2UKJ \
  | 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: e6f5af0db28be2549f3ee064c90b54527be5716c4f4a2621a0efd421fac13dce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d952edc4a75ecb77e45e9a4408a0adf24c441b2ebe515530f5272d0f23771798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-01-14T07:52:31Z",
    "title_canon_sha256": "e61a25cba2a70938a5a06c5c31e3b9013f49a084372af801b24589653030352e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07910",
    "kind": "arxiv",
    "version": 1
  }
}