Pith Number

pith:DD6MZQWR

pith:2017:DD6MZQWROPZ4DASFPNNULDC3BM

not attested not anchored not stored refs pending

3k-4 theorem for ordered groups

Prem Prakash Pandey

arxiv:1702.03729 v1 · 2017-02-13 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DD6MZQWROPZ4DASFPNNULDC3BM}

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	2026-05-18T00:50:53.125119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18fcccc2d173f3c182457b5b458c5b0b3126e18a70546ee0f952cb3d528649fe

Aliases

arxiv: 1702.03729 · arxiv_version: 1702.03729v1 · doi: 10.48550/arxiv.1702.03729 · pith_short_12: DD6MZQWROPZ4 · pith_short_16: DD6MZQWROPZ4DASF · pith_short_8: DD6MZQWR

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/DD6MZQWROPZ4DASFPNNULDC3BM \
  | 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: 18fcccc2d173f3c182457b5b458c5b0b3126e18a70546ee0f952cb3d528649fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4b2bb705d9379930d32804ddc8e0f15d937ed37bc1b0055ac7fd0951accdbf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-13T11:53:50Z",
    "title_canon_sha256": "fbc1ce18d92825dad8726d0755901a8301ee675317109240ea60c2015b34067a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03729",
    "kind": "arxiv",
    "version": 1
  }
}