Pith Number

pith:HLSTG2RW

pith:2016:HLSTG2RWF5WIR3NLQIKETIAWGP

not attested not anchored not stored refs pending

Formal-dual subsets of cyclic groups of prime power order

Robert Sch\"uler

arxiv:1605.05939 v1 · 2016-05-19 · math.GR · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLSTG2RWF5WIR3NLQIKETIAWGP}

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	2026-05-18T00:42:22.042388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae5336a362f6c88edab821449a01633ff4077a9c310dc87a6ce2a9760b7dec2

Aliases

arxiv: 1605.05939 · arxiv_version: 1605.05939v1 · doi: 10.48550/arxiv.1605.05939 · pith_short_12: HLSTG2RWF5WI · pith_short_16: HLSTG2RWF5WIR3NL · pith_short_8: HLSTG2RW

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/HLSTG2RWF5WIR3NLQIKETIAWGP \
  | 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: 3ae5336a362f6c88edab821449a01633ff4077a9c310dc87a6ce2a9760b7dec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5afaeec605245493740fc7881d49d728ad11a260b1fdd225c365463194fd7cf0",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-19T13:18:06Z",
    "title_canon_sha256": "7c0e92b57cbacbaac564de5c4178db9934f7ea374889cb5aa3003b80d6f432fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05939",
    "kind": "arxiv",
    "version": 1
  }
}