Pith Number

pith:4OFPXMWU

pith:2016:4OFPXMWUMSQZRBYTC5BA4JPHC7

not attested not anchored not stored refs pending

On Primes of Ordinary and Hodge-Witt Reduction

Kirti Joshi

arxiv:1603.09404 v3 · 2016-03-30 · math.AG · 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{4OFPXMWUMSQZRBYTC5BA4JPHC7}

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	2026-05-18T02:44:40.092060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38afbb2d464a198871317420e25e717ddb9e1cbc5ec8ece93e9080909f1f7c1

Aliases

arxiv: 1603.09404 · arxiv_version: 1603.09404v3 · doi: 10.48550/arxiv.1603.09404 · pith_short_12: 4OFPXMWUMSQZ · pith_short_16: 4OFPXMWUMSQZRBYT · pith_short_8: 4OFPXMWU

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/4OFPXMWUMSQZRBYTC5BA4JPHC7 \
  | 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: e38afbb2d464a198871317420e25e717ddb9e1cbc5ec8ece93e9080909f1f7c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc57d8776d974677d0187f53d9835a57467b5c97b9d516305a5e0d185e386f64",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-30T22:35:53Z",
    "title_canon_sha256": "0093ae7e5d85852d065e548bf8a80ea72b71127a62a37753547666c231333af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09404",
    "kind": "arxiv",
    "version": 3
  }
}