Pith Number

pith:3544D6JF

pith:2018:3544D6JFRYZMZLOEOBKKTM66SW

not attested not anchored not stored refs pending

Root systems in number fields

Vladimir L. Popov, Yuri G. Zarhin

arxiv:1808.01136 v3 · 2018-08-03 · math.GR · math.CO · math.MG · 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{3544D6JFRYZMZLOEOBKKTM66SW}

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	2026-05-17T23:39:32.282075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df79c1f9258e32ccadc47054a9b3de959f0856f99ebb468ee5eacd2fc1636656

Aliases

arxiv: 1808.01136 · arxiv_version: 1808.01136v3 · doi: 10.48550/arxiv.1808.01136 · pith_short_12: 3544D6JFRYZM · pith_short_16: 3544D6JFRYZMZLOE · pith_short_8: 3544D6JF

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/3544D6JFRYZMZLOEOBKKTM66SW \
  | 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: df79c1f9258e32ccadc47054a9b3de959f0856f99ebb468ee5eacd2fc1636656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0f7cb5aaa7fe0a2e3277e908e23d209bf74a428085fdfe3a9aca37750d16e1",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-03T09:48:18Z",
    "title_canon_sha256": "ce9eaae18b9f7c7d5b2c046a72c109b64b54b7b8cd38783bb95555f153574a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01136",
    "kind": "arxiv",
    "version": 3
  }
}