Pith Number

pith:6VLECDID

pith:2015:6VLECDIDI5KHJTL3OEAMAYMAYJ

not attested not anchored not stored refs pending

Miura: Divisor Class Group Arithmetic

Joe Suzuki

arxiv:1512.08040 v1 · 2015-12-25 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VLECDIDI5KHJTL3OEAMAYMAYJ}

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	2026-05-18T01:23:43.484431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f556410d03475474cd7b7100c06180c24872cfc14736205066737a344ccbced5

Aliases

arxiv: 1512.08040 · arxiv_version: 1512.08040v1 · doi: 10.48550/arxiv.1512.08040 · pith_short_12: 6VLECDIDI5KH · pith_short_16: 6VLECDIDI5KHJTL3 · pith_short_8: 6VLECDID

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/6VLECDIDI5KHJTL3OEAMAYMAYJ \
  | 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: f556410d03475474cd7b7100c06180c24872cfc14736205066737a344ccbced5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de664dfa5636e0191c76082bfd7b34564e537b8c8b6ca303d802cda5d68c2fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-25T21:34:14Z",
    "title_canon_sha256": "0322e0d7215e56094d34ca60925a719c4654cfa72c85cd1762227661b1493a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08040",
    "kind": "arxiv",
    "version": 1
  }
}