Pith Number

pith:H7HI7K6F

pith:2015:H7HI7K6FEHEGUGN3HS4J7N4APK

not attested not anchored not stored refs pending

Two-Step and Three-Step Nilpotent Lie Algebras Constructed from Schreier Graphs

Allie Ray

arxiv:1501.01605 v2 · 2015-01-07 · math.DG · 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{H7HI7K6FEHEGUGN3HS4J7N4APK}

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	2026-05-18T02:29:17.070997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fce8fabc521c86a19bb3cb89fb7807aa50b133b739158a4346b9f4486ff894b

Aliases

arxiv: 1501.01605 · arxiv_version: 1501.01605v2 · doi: 10.48550/arxiv.1501.01605 · pith_short_12: H7HI7K6FEHEG · pith_short_16: H7HI7K6FEHEGUGN3 · pith_short_8: H7HI7K6F

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/H7HI7K6FEHEGUGN3HS4J7N4APK \
  | 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: 3fce8fabc521c86a19bb3cb89fb7807aa50b133b739158a4346b9f4486ff894b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e26968ff8648da0754c8be5a30b7186ebc37a14c03e895812d15b65635ef47f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-07T19:56:40Z",
    "title_canon_sha256": "6b9d563878aaf244d7502e5817cdf36c645398fb0eef1fbe68f9fe49f7cc0fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01605",
    "kind": "arxiv",
    "version": 2
  }
}