Pith Number

pith:TODE3KUK

pith:2017:TODE3KUKSMASE5S5A3H3FA2XGL

not attested not anchored not stored refs pending

Finding Intermediate Subgroups

Alexander Hulpke

arxiv:1706.00769 v2 · 2017-06-02 · 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{TODE3KUKSMASE5S5A3H3FA2XGL}

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	2026-05-18T00:30:54.843160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b864daa8a930122765d06cfb2835732d558f8c4301d851831e415838993f84a

Aliases

arxiv: 1706.00769 · arxiv_version: 1706.00769v2 · doi: 10.48550/arxiv.1706.00769 · pith_short_12: TODE3KUKSMAS · pith_short_16: TODE3KUKSMASE5S5 · pith_short_8: TODE3KUK

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/TODE3KUKSMASE5S5A3H3FA2XGL \
  | 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: 9b864daa8a930122765d06cfb2835732d558f8c4301d851831e415838993f84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8789ca53ccc19868abad24c5eb8dd5e80a5f2df2e892d3b299abec77ed7127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-02T17:48:34Z",
    "title_canon_sha256": "e48d39ab2990f6ebf47076db5c339d3f62e39b68bb5ec8c103c54b3460fb5c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00769",
    "kind": "arxiv",
    "version": 2
  }
}