Pith Number

pith:56KJFLWR

pith:2012:56KJFLWRYU7I7DRTKGFTSEBNWN

not attested not anchored not stored refs pending

Application of Weierstrass units to relative power integral bases

Dong Hwa Shin, Ho Yun Jung, Ja Kyung Koo

arxiv:1212.6621 v1 · 2012-12-29 · 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{56KJFLWRYU7I7DRTKGFTSEBNWN}

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	2026-05-18T03:37:31.342215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef9492aed1c53e8f8e33518b39102db376da312fd021fa854022178233d047b0

Aliases

arxiv: 1212.6621 · arxiv_version: 1212.6621v1 · doi: 10.48550/arxiv.1212.6621 · pith_short_12: 56KJFLWRYU7I · pith_short_16: 56KJFLWRYU7I7DRT · pith_short_8: 56KJFLWR

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/56KJFLWRYU7I7DRTKGFTSEBNWN \
  | 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: ef9492aed1c53e8f8e33518b39102db376da312fd021fa854022178233d047b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a18205d53645dc9db0ea5370c5037b37f7c8c012ab8004462030c08aef9cfdf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-29T12:33:58Z",
    "title_canon_sha256": "84b99e6bede5603f231b866b48a4457fe1d8519459a61859b3f722cd0ebe7e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6621",
    "kind": "arxiv",
    "version": 1
  }
}