Pith Number

pith:OBAISE4N

pith:2014:OBAISE4N7VSOSZF35G7FN6T5D5

not attested not anchored not stored refs pending

Explicit form of Cassels' $p$-adic embedding theorem for number fields

Arturas Dubickas, Igor E. Shparlinski, Min Sha

arxiv:1401.6819 v2 · 2014-01-27 · 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{OBAISE4N7VSOSZF35G7FN6T5D5}

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	2026-05-18T02:39:48.456910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

704089138dfd64e964bbe9be56fa7d1f6d5482401d7ca0646a1df185e22493a1

Aliases

arxiv: 1401.6819 · arxiv_version: 1401.6819v2 · doi: 10.48550/arxiv.1401.6819 · pith_short_12: OBAISE4N7VSO · pith_short_16: OBAISE4N7VSOSZF3 · pith_short_8: OBAISE4N

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/OBAISE4N7VSOSZF35G7FN6T5D5 \
  | 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: 704089138dfd64e964bbe9be56fa7d1f6d5482401d7ca0646a1df185e22493a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "449f2e647ded1b9def0fc4a5cae254a32281dd5ad2515e4ae1810f35f29b93db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-27T12:05:01Z",
    "title_canon_sha256": "2de7a9308e60abd0bf070c62a8b92452dbcf2d151e7575f84b84ffbaf6cbe0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6819",
    "kind": "arxiv",
    "version": 2
  }
}