Pith Number

pith:TC2LTAIQ

pith:2018:TC2LTAIQNBFZHDDGO7IVO5JHUK

not attested not anchored not stored refs pending

Invariant translators of the Heisenberg group

Giuseppe Pipoli

arxiv:1811.04619 v1 · 2018-11-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TC2LTAIQNBFZHDDGO7IVO5JHUK}

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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.

Cited by

1 paper in Pith

Invariant translators of the Solvable group

Receipt and verification

First computed	2026-05-18T00:01:04.570844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b4b98110684b938c6677d1577527a28f731bb157ddb9fb35f728b6c17ddf76

Aliases

arxiv: 1811.04619 · arxiv_version: 1811.04619v1 · doi: 10.48550/arxiv.1811.04619 · pith_short_12: TC2LTAIQNBFZ · pith_short_16: TC2LTAIQNBFZHDDG · pith_short_8: TC2LTAIQ

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/TC2LTAIQNBFZHDDGO7IVO5JHUK \
  | 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: 98b4b98110684b938c6677d1577527a28f731bb157ddb9fb35f728b6c17ddf76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4739cba08bf6b47c6f981862337d8ad7175beebbf5f792e33c6e870483af33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-12T09:32:34Z",
    "title_canon_sha256": "ebf1737b7434feb6b504f7fb22a2fe625b411a0be519c3a3388d53f9de1d3ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04619",
    "kind": "arxiv",
    "version": 1
  }
}