Pith Number

pith:FOO77VJ7

pith:2018:FOO77VJ7NBQSX7ZYJ43YXMFZHD

not attested not anchored not stored refs pending

Explicit computations in Iwasawa theory

David Hubbard, Lawrence C. Washington, Reinier Broker

arxiv:1806.10473 v1 · 2018-06-27 · 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{FOO77VJ7NBQSX7ZYJ43YXMFZHD}

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	2026-05-17T23:54:11.296142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b9dffd53f68612bff384f378bb0b938f456f0fa795aa9d12c513f465142b21c

Aliases

arxiv: 1806.10473 · arxiv_version: 1806.10473v1 · doi: 10.48550/arxiv.1806.10473 · pith_short_12: FOO77VJ7NBQS · pith_short_16: FOO77VJ7NBQSX7ZY · pith_short_8: FOO77VJ7

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/FOO77VJ7NBQSX7ZYJ43YXMFZHD \
  | 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: 2b9dffd53f68612bff384f378bb0b938f456f0fa795aa9d12c513f465142b21c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db3af766e4b5786411362bbdfd1638ac43e6642860b0ab946f622721177e80e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-27T13:29:22Z",
    "title_canon_sha256": "7e0044e35bcda35b4fad99d87637969e30b8787e741d73612303f007a3c3cb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10473",
    "kind": "arxiv",
    "version": 1
  }
}