Pith Number

pith:V4OHV4HQ

pith:2013:V4OHV4HQGFXRUZMVQM4EE5YDIE

not attested not anchored not stored refs pending

Odometer actions of the Heisenberg group

Alexandre I. Danilenko, Mariusz Lemanczyk

arxiv:1305.0285 v2 · 2013-05-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4OHV4HQGFXRUZMVQM4EE5YDIE}

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	2026-05-18T01:32:50.980561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1c7af0f0316f1a6595833842770341000a643fb638268b3747fbda8aa79e96

Aliases

arxiv: 1305.0285 · arxiv_version: 1305.0285v2 · doi: 10.48550/arxiv.1305.0285 · pith_short_12: V4OHV4HQGFXR · pith_short_16: V4OHV4HQGFXRUZMV · pith_short_8: V4OHV4HQ

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/V4OHV4HQGFXRUZMVQM4EE5YDIE \
  | 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: af1c7af0f0316f1a6595833842770341000a643fb638268b3747fbda8aa79e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7b0a798d866c28bd00af01f8541616b23542c1a343757ae7c746c8d6a878c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-01T20:32:19Z",
    "title_canon_sha256": "ddc24230a5765a50687931999d34edd1cf5d9aa59bcb2a8d4143818cf6e7858b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0285",
    "kind": "arxiv",
    "version": 2
  }
}