Pith Number

pith:I6KUJUKV

pith:2018:I6KUJUKVCNIRPYLF7NEAQTUK3U

not attested not anchored not stored refs pending

Galois extensions, positive involutions and an application to unitary space-time coding

Thomas Unger, Vincent Astier

arxiv:1809.08954 v2 · 2018-09-24 · math.RA · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6KUJUKVCNIRPYLF7NEAQTUK3U}

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	2026-05-18T00:03:31.595306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479544d155135117e165fb48084e8add18e7f70cf96e57c0b5c5b47bceb5dd33

Aliases

arxiv: 1809.08954 · arxiv_version: 1809.08954v2 · doi: 10.48550/arxiv.1809.08954 · pith_short_12: I6KUJUKVCNIR · pith_short_16: I6KUJUKVCNIRPYLF · pith_short_8: I6KUJUKV

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/I6KUJUKVCNIRPYLF7NEAQTUK3U \
  | 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: 479544d155135117e165fb48084e8add18e7f70cf96e57c0b5c5b47bceb5dd33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a815fc7981c02c23b856ecfbc6ac7565b43fd6439ad883d6cf8c62b9da6bb8c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-09-24T14:10:47Z",
    "title_canon_sha256": "5ab5412ceb52d96ac2762b342c828eec7a8c1a2c09c90152f717e87c5fb6e596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08954",
    "kind": "arxiv",
    "version": 2
  }
}