pith. sign in
Pith Number

pith:KMYNTKI5

pith:2011:KMYNTKI5TVWC6VKTNR6QPRA6RG
not attested not anchored not stored refs pending

The algebraic numbers definable in various exponential fields

Alf Onshuus, Angus Macintyre, Jonathan Kirby

arxiv:1101.4224 v1 · 2011-01-21 · math.LO · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KMYNTKI5TVWC6VKTNR6QPRA6RG}

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 2026-05-18T02:39:24.520662Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5330d9a91d9d6c2f55536c7d07c41e8990232706beb690050bf84ca52e7bd0be

Aliases

arxiv: 1101.4224 · arxiv_version: 1101.4224v1 · doi: 10.48550/arxiv.1101.4224 · pith_short_12: KMYNTKI5TVWC · pith_short_16: KMYNTKI5TVWC6VKT · pith_short_8: KMYNTKI5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KMYNTKI5TVWC6VKTNR6QPRA6RG \
  | 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: 5330d9a91d9d6c2f55536c7d07c41e8990232706beb690050bf84ca52e7bd0be
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a6be3c8379f02c9ebb4b9b6668f1ce401757dbd2a129b80db97bbf63176281b4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-01-21T20:15:16Z",
    "title_canon_sha256": "a07e0707197ece9d59e865bad35a5ead98ab28c73c46435fb4031bb96fe11b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4224",
    "kind": "arxiv",
    "version": 1
  }
}