Pith Number

pith:O2LN6D5M

pith:2019:O2LN6D5MJV74VX3XIP24YOLNRF

not attested not anchored not stored refs pending

The language of geodesics for the discrete Heisenberg group

Ilya Alekseev, Ruslan Magdiev

arxiv:1905.03226 v1 · 2019-05-08 · 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{O2LN6D5MJV74VX3XIP24YOLNRF}

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	2026-05-17T23:46:42.504769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7696df0fac4d7fcadf7743f5cc396d897530ec490c799f014fd2bd57fef80064

Aliases

arxiv: 1905.03226 · arxiv_version: 1905.03226v1 · doi: 10.48550/arxiv.1905.03226 · pith_short_12: O2LN6D5MJV74 · pith_short_16: O2LN6D5MJV74VX3X · pith_short_8: O2LN6D5M

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/O2LN6D5MJV74VX3XIP24YOLNRF \
  | 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: 7696df0fac4d7fcadf7743f5cc396d897530ec490c799f014fd2bd57fef80064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45dab3972340fe7585f0544fd16697e109f59d7ebf3e538cbf949b7b63fcdf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-08T17:29:16Z",
    "title_canon_sha256": "f1c154d970e04a2ebea0b380c4f8a2ba3f0d7c52cac0472e58a30325520eadcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03226",
    "kind": "arxiv",
    "version": 1
  }
}