Pith Number

pith:TIZF5KTZ

pith:2011:TIZF5KTZHHVUJADLFCN2CVSWFF

not attested not anchored not stored refs pending

Cyclotomic matrices over the Eisenstein and Gaussian integers

Gary Greaves

arxiv:1102.1555 v2 · 2011-02-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIZF5KTZHHVUJADLFCN2CVSWFF}

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	2026-05-18T03:13:56.521446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a325eaa7939eb44806b289ba156562973dfe3d130cbd5183877da20e465921f

Aliases

arxiv: 1102.1555 · arxiv_version: 1102.1555v2 · doi: 10.48550/arxiv.1102.1555 · pith_short_12: TIZF5KTZHHVU · pith_short_16: TIZF5KTZHHVUJADL · pith_short_8: TIZF5KTZ

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/TIZF5KTZHHVUJADLFCN2CVSWFF \
  | 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: 9a325eaa7939eb44806b289ba156562973dfe3d130cbd5183877da20e465921f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3e3f77f0cf379fbcabdbcb86e1c337c958ceee64d08d28ad3dac02ad3a28b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-08T10:07:00Z",
    "title_canon_sha256": "468631c0b69e2461639386066f0dfad28767c9c4e1df479af645b46d142d7efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1555",
    "kind": "arxiv",
    "version": 2
  }
}