Pith Number

pith:2HC6FARP

pith:2018:2HC6FARP7CB7EUP7UR3RBXXOPL

not attested not anchored not stored refs pending

The local symmetry condition in the Heisenberg group

Tuomas Orponen

arxiv:1807.05010 v1 · 2018-07-13 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HC6FARP7CB7EUP7UR3RBXXOPL}

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	2026-05-18T00:10:49.229295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c5e2822ff883f251ffa47710deee7adc17f0279d49a8abef03223c18e84e69

Aliases

arxiv: 1807.05010 · arxiv_version: 1807.05010v1 · doi: 10.48550/arxiv.1807.05010 · pith_short_12: 2HC6FARP7CB7 · pith_short_16: 2HC6FARP7CB7EUP7 · pith_short_8: 2HC6FARP

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/2HC6FARP7CB7EUP7UR3RBXXOPL \
  | 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: d1c5e2822ff883f251ffa47710deee7adc17f0279d49a8abef03223c18e84e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4420537610f4a28eb4a4afedb6263ea24be5153560930e0b20e67f943cd0496",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-13T11:18:12Z",
    "title_canon_sha256": "61c9d3c5adb078e9847a8034b0fa5a4d8ea8d6dcfd7dc3b683607211ef2e31f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05010",
    "kind": "arxiv",
    "version": 1
  }
}