Pith Number

pith:SVGJXZXJ

pith:2015:SVGJXZXJTW32QYXQSYNR4JOG7A

not attested not anchored not stored refs pending

Some computations of generalized Hilbert-Kunz function and multiplicity

Hailong Dao, Kei-ichi Watanabe

arxiv:1503.00894 v1 · 2015-03-03 · 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{SVGJXZXJTW32QYXQSYNR4JOG7A}

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	2026-05-18T02:25:48.158794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

954c9be6e99db7a862f0961b1e25c6f80214e312207c2b00355e53c582c008f6

Aliases

arxiv: 1503.00894 · arxiv_version: 1503.00894v1 · doi: 10.48550/arxiv.1503.00894 · pith_short_12: SVGJXZXJTW32 · pith_short_16: SVGJXZXJTW32QYXQ · pith_short_8: SVGJXZXJ

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/SVGJXZXJTW32QYXQSYNR4JOG7A \
  | 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: 954c9be6e99db7a862f0961b1e25c6f80214e312207c2b00355e53c582c008f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4625f95356f76aa6fb1ade61a1b4afa01c18142e68166a5a76106494f6255b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-03T10:54:27Z",
    "title_canon_sha256": "b9437979d44d576fb4de170902061c21693b81e2362e40f41bc7c1845896b597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00894",
    "kind": "arxiv",
    "version": 1
  }
}