Pith Number

pith:NV7CJ6U5

pith:2016:NV7CJ6U5I2222YK7OEBSGJ5NMU

not attested not anchored not stored refs pending

Generalize Heisenberg Groups and Self-Duality

Dikran Dikranjan, Marco Bonatto

arxiv:1611.02685 v2 · 2016-11-08 · 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{NV7CJ6U5I2222YK7OEBSGJ5NMU}

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	2026-05-18T00:35:46.665033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d7e24fa9d46b5ad615f71032327ad6509a01033a5f4aa13195a91166c0f9625

Aliases

arxiv: 1611.02685 · arxiv_version: 1611.02685v2 · doi: 10.48550/arxiv.1611.02685 · pith_short_12: NV7CJ6U5I222 · pith_short_16: NV7CJ6U5I2222YK7 · pith_short_8: NV7CJ6U5

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/NV7CJ6U5I2222YK7OEBSGJ5NMU \
  | 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: 6d7e24fa9d46b5ad615f71032327ad6509a01033a5f4aa13195a91166c0f9625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37062d2d6cd49dab9c97155fe58e6ed9c93089f21ee743841c5fe4f5ea9a9e28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-08T20:48:10Z",
    "title_canon_sha256": "d6572f190023a8c17caf96191b10861a8d404335625a28876ce1009eabdcaad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02685",
    "kind": "arxiv",
    "version": 2
  }
}