Pith Number

pith:GKPIWWJX

pith:2015:GKPIWWJXYNYR6KVTAI45TH4GPZ

not attested not anchored not stored refs pending

Simultaneous $p$-orderings and minimising volumes in number fields

Anna Szumowicz, Jakub Byszewski, Miko{\l}aj Fr\k{a}czyk

arxiv:1506.02696 v3 · 2015-06-08 · 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{GKPIWWJXYNYR6KVTAI45TH4GPZ}

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	2026-05-18T00:57:04.950064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329e8b5937c3711f2ab30239d99f867e5c2e0dbf1f2017582a43037639b602c5

Aliases

arxiv: 1506.02696 · arxiv_version: 1506.02696v3 · doi: 10.48550/arxiv.1506.02696 · pith_short_12: GKPIWWJXYNYR · pith_short_16: GKPIWWJXYNYR6KVT · pith_short_8: GKPIWWJX

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/GKPIWWJXYNYR6KVTAI45TH4GPZ \
  | 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: 329e8b5937c3711f2ab30239d99f867e5c2e0dbf1f2017582a43037639b602c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a5332b0c4877edd7af136bc42d55806b3213e0fad91ce69210e56ca7b70b52b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-08T20:49:19Z",
    "title_canon_sha256": "12d4dead395c5a2881873f05b9d72f6d7e1a67d8a3bf96cd6e49703b8d2a2a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02696",
    "kind": "arxiv",
    "version": 3
  }
}