Pith Number

pith:UWKGMBQI

pith:2018:UWKGMBQIT42NKZ2DX2CT4XJH7S

not attested not anchored not stored refs pending

Rank 1 abelian normal subgroups of 2-knot groups

Jonathan A. Hillman

arxiv:1807.00293 v5 · 2018-07-01 · 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{UWKGMBQIT42NKZ2DX2CT4XJH7S}

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	2026-05-20T00:02:00.718919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5946606089f34d56743be853e5d27fc8b9d1a3646579a27b229db410c7020fd

Aliases

arxiv: 1807.00293 · arxiv_version: 1807.00293v5 · doi: 10.48550/arxiv.1807.00293 · pith_short_12: UWKGMBQIT42N · pith_short_16: UWKGMBQIT42NKZ2D · pith_short_8: UWKGMBQI

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/UWKGMBQIT42NKZ2DX2CT4XJH7S \
  | 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: a5946606089f34d56743be853e5d27fc8b9d1a3646579a27b229db410c7020fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1bc1b0aecab9bf588c7f576c2ac65dad06f4489bf8dea7262caa7b0eb6a6033",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-01T08:37:57Z",
    "title_canon_sha256": "81fbd53795da1196eb994312d3600c0b703955f9a9664f0a4e2f17b353d56c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00293",
    "kind": "arxiv",
    "version": 5
  }
}