Pith Number

pith:6MIU63YM

pith:2013:6MIU63YMIBQ7H6CIZZGLMU2D3L

not attested not anchored not stored refs pending

Periodic representations for cubic irrationalities

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1304.2906 v1 · 2013-04-10 · 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{6MIU63YMIBQ7H6CIZZGLMU2D3L}

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	2026-05-18T03:28:27.992932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3114f6f0c4061f3f848ce4cb65343dac5a9b05f9944675a492f5c9c40f218b7

Aliases

arxiv: 1304.2906 · arxiv_version: 1304.2906v1 · doi: 10.48550/arxiv.1304.2906 · pith_short_12: 6MIU63YMIBQ7 · pith_short_16: 6MIU63YMIBQ7H6CI · pith_short_8: 6MIU63YM

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/6MIU63YMIBQ7H6CIZZGLMU2D3L \
  | 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: f3114f6f0c4061f3f848ce4cb65343dac5a9b05f9944675a492f5c9c40f218b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755466bcfdd533fd4860b7d656b958d329cc57ac7a81831f1f9adbc803c28996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-10T10:51:33Z",
    "title_canon_sha256": "d7424ed705fe5cfcd8d58836047395e404e114c71bbdb5d89743fc0aff3581b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2906",
    "kind": "arxiv",
    "version": 1
  }
}