Pith Number

pith:6M7WRZ4A

pith:2019:6M7WRZ4ASTHP5MNGDSZUPID5WB

not attested not anchored not stored refs pending

A Hilbert-Kunz function with a periodic term that has a given period

Robin Baidya

arxiv:1906.08821 v1 · 2019-06-20 · 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{6M7WRZ4ASTHP5MNGDSZUPID5WB}

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	2026-05-17T23:42:47.812842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f33f68e78094cefeb1a61cb347a07db0575bfdf71069aee1fd2f10eb414c83b9

Aliases

arxiv: 1906.08821 · arxiv_version: 1906.08821v1 · doi: 10.48550/arxiv.1906.08821 · pith_short_12: 6M7WRZ4ASTHP · pith_short_16: 6M7WRZ4ASTHP5MNG · pith_short_8: 6M7WRZ4A

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/6M7WRZ4ASTHP5MNGDSZUPID5WB \
  | 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: f33f68e78094cefeb1a61cb347a07db0575bfdf71069aee1fd2f10eb414c83b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f2c565a0d6157322c02aa95b3941487e6b94a6c64f2744872828a050b19fd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-20T19:48:17Z",
    "title_canon_sha256": "f1c53240ebdc61d04b9acecbf6c1331b16bcafdf1dd4fce6435575e97b311f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08821",
    "kind": "arxiv",
    "version": 1
  }
}