Pith Number

pith:3P3QEYZ7

pith:2011:3P3QEYZ7N6TVF3H3F4V3OVS5WG

not attested not anchored not stored refs pending

A precise result on the arithmetic of non-principal orders in algebraic number fields

Andreas Philipp

arxiv:1104.3971 v1 · 2011-04-20 · 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{3P3QEYZ7N6TVF3H3F4V3OVS5WG}

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	2026-05-18T04:23:47.310666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf702633f6fa752ecfb2f2bb7565db1b7c56962a315439c4bf6ce994791d04c

Aliases

arxiv: 1104.3971 · arxiv_version: 1104.3971v1 · doi: 10.48550/arxiv.1104.3971 · pith_short_12: 3P3QEYZ7N6TV · pith_short_16: 3P3QEYZ7N6TVF3H3 · pith_short_8: 3P3QEYZ7

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/3P3QEYZ7N6TVF3H3F4V3OVS5WG \
  | 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: dbf702633f6fa752ecfb2f2bb7565db1b7c56962a315439c4bf6ce994791d04c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5840763fa5016a7639bbb2567a07ec26aab61085d9af194fc58dc866abf5c8c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-20T08:42:09Z",
    "title_canon_sha256": "c50b6e6032adced821289891e11d24ce056e37d08e6e0d7cff0c78f1f7f08ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3971",
    "kind": "arxiv",
    "version": 1
  }
}