Pith Number

pith:JQAWZJWN

pith:2015:JQAWZJWNMLJ7YLQ4RGWYUMGW4A

not attested not anchored not stored refs pending

An observation on generalized Hilbert-Kunz functions

Adela Vraciu

arxiv:1510.00668 v1 · 2015-10-02 · 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{JQAWZJWNMLJ7YLQ4RGWYUMGW4A}

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	2026-05-18T01:31:12.335262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c016ca6cd62d3fc2e1c89ad8a30d6e037ceaebbad71c8caf4e5e2493a2be670

Aliases

arxiv: 1510.00668 · arxiv_version: 1510.00668v1 · doi: 10.48550/arxiv.1510.00668 · pith_short_12: JQAWZJWNMLJ7 · pith_short_16: JQAWZJWNMLJ7YLQ4 · pith_short_8: JQAWZJWN

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/JQAWZJWNMLJ7YLQ4RGWYUMGW4A \
  | 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: 4c016ca6cd62d3fc2e1c89ad8a30d6e037ceaebbad71c8caf4e5e2493a2be670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69a89763ac1a60f6e4d02a20960a75ded8caaaeea67a74564be696d478be9837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-10-02T18:05:46Z",
    "title_canon_sha256": "ab04fce9ebc7dce16b3caf633d2f6db6971c07c745ffdaf58993d9ad0bdaf673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00668",
    "kind": "arxiv",
    "version": 1
  }
}