Pith Number

pith:2M5HWTHL

pith:2011:2M5HWTHLMDEOCNFFKI7FMHU7SR

not attested not anchored not stored refs pending

Simple cubic function fields and class number computations

Jonathan Webster, Pieter Rozenhart

arxiv:1108.6048 v2 · 2011-08-30 · 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{2M5HWTHLMDEOCNFFKI7FMHU7SR}

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	2026-05-18T04:02:39.457193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33a7b4ceb60c8e134a5523e561e9f946e07e83075a2b5c8465e40f1b45f2f5c

Aliases

arxiv: 1108.6048 · arxiv_version: 1108.6048v2 · doi: 10.48550/arxiv.1108.6048 · pith_short_12: 2M5HWTHLMDEO · pith_short_16: 2M5HWTHLMDEOCNFF · pith_short_8: 2M5HWTHL

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/2M5HWTHLMDEOCNFFKI7FMHU7SR \
  | 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: d33a7b4ceb60c8e134a5523e561e9f946e07e83075a2b5c8465e40f1b45f2f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec0dab803f1c5a1e5b21c06e72824431edf4b46ec1641319c0daf63a26383a07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-30T19:37:57Z",
    "title_canon_sha256": "a57817d07fcf12d3cf0b292524c8bb943b55e9dd9c56fe5b96f5902f929491c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6048",
    "kind": "arxiv",
    "version": 2
  }
}