Pith Number

pith:THD3PM5U

pith:2011:THD3PM5ULOOP7WLQKDTLFDGPMD

not attested not anchored not stored refs pending

Heuristics for $p$-class towers of imaginary quadratic fields, with an Appendix by Jonathan Blackhurst

Farshid Hajir, Michael R. Bush, Nigel Boston

arxiv:1111.4679 v2 · 2011-11-20 · math.NT

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Receipt and verification

First computed	2026-05-18T02:31:38.567769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c7b7b3b45b9cffd97050e6b28ccf60c87599605e4daf2512fa8e3f500cccbc

Aliases

arxiv: 1111.4679 · arxiv_version: 1111.4679v2 · doi: 10.48550/arxiv.1111.4679

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/THD3PM5ULOOP7WLQKDTLFDGPMD \
  | 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: 99c7b7b3b45b9cffd97050e6b28ccf60c87599605e4daf2512fa8e3f500cccbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86144c370fe557dc24f9cd12e8061e1db79eab00cf53393959376ff1be0307bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-20T21:08:41Z",
    "title_canon_sha256": "fb3ba20f9888d2bd9cc6ff502184e8b0f128dee8d4cfbc40dbe54e68696ce2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4679",
    "kind": "arxiv",
    "version": 2
  }
}