Pith Number

pith:5UNX2WUZ

pith:2011:5UNX2WUZFWMKWBXOLXDPXAFGBP

not attested not anchored not stored refs pending

Models of the group schemes of roots of unity

Ariane M\'ezard, Dajano Tossici, Matthieu Romagny

arxiv:1104.2232 v2 · 2011-04-12 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UNX2WUZFWMKWBXOLXDPXAFGBP}

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	2026-05-18T03:36:37.202723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1b7d5a992d98ab06ee5dc6fb80a60bf82008251b871e44d8d33dd2a369eada

Aliases

arxiv: 1104.2232 · arxiv_version: 1104.2232v2 · doi: 10.48550/arxiv.1104.2232 · pith_short_12: 5UNX2WUZFWMK · pith_short_16: 5UNX2WUZFWMKWBXO · pith_short_8: 5UNX2WUZ

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/5UNX2WUZFWMKWBXOLXDPXAFGBP \
  | 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: ed1b7d5a992d98ab06ee5dc6fb80a60bf82008251b871e44d8d33dd2a369eada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9620e383773ef83150e2316d34eb2083f86c7dc81bf7ec502ca3209fdd4d6be",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-12T14:40:06Z",
    "title_canon_sha256": "48bc36b41066e00f4d545b2a37aa961bb5a542bab73fbb51ef19a38ec0e84f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2232",
    "kind": "arxiv",
    "version": 2
  }
}