Pith Number

pith:SH3DPYPF

pith:2016:SH3DPYPFAMSGVEGHCKZWZQK2X2

not attested not anchored not stored refs pending

Control of Fusion by Abelian Subgroups of the Hyperfocal Subgroup

Ellen Henke, Jun Liao

arxiv:1611.04403 v1 · 2016-11-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SH3DPYPFAMSGVEGHCKZWZQK2X2}

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	2026-05-18T00:59:16.752279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91f637e1e503246a90c712b36cc15abe8a99eaa855b4e750bb897e894e61d876

Aliases

arxiv: 1611.04403 · arxiv_version: 1611.04403v1 · doi: 10.48550/arxiv.1611.04403 · pith_short_12: SH3DPYPFAMSG · pith_short_16: SH3DPYPFAMSGVEGH · pith_short_8: SH3DPYPF

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/SH3DPYPFAMSGVEGHCKZWZQK2X2 \
  | 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: 91f637e1e503246a90c712b36cc15abe8a99eaa855b4e750bb897e894e61d876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf6cf8a9bce4973c7eba646befc28ee8fd8b96ae631c2acfef5249966349a7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-14T14:56:24Z",
    "title_canon_sha256": "6b59d9f39ad8a14cce98c0bfce51669fc3b5e1ab20b7e989f1846e0b001de1b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04403",
    "kind": "arxiv",
    "version": 1
  }
}