Pith Number

pith:TEZXY33K

pith:2018:TEZXY33KRJBKFBVTSTSKA5ZNEX

not attested not anchored not stored refs pending

Density function for the second coefficient of the Hilbert-Kunz function

Mandira Mondal, Vijaylaxmi Trivedi

arxiv:1801.06977 v1 · 2018-01-22 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEZXY33KRJBKFBVTSTSKA5ZNEX}

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	2026-05-18T00:25:22.610099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99337c6f6a8a42a286b394e4a0772d25e1c7977d5a93513d71a1d6b16f00a589

Aliases

arxiv: 1801.06977 · arxiv_version: 1801.06977v1 · doi: 10.48550/arxiv.1801.06977 · pith_short_12: TEZXY33KRJBK · pith_short_16: TEZXY33KRJBKFBVT · pith_short_8: TEZXY33K

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/TEZXY33KRJBKFBVTSTSKA5ZNEX \
  | 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: 99337c6f6a8a42a286b394e4a0772d25e1c7977d5a93513d71a1d6b16f00a589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08eb9359032fd972ccbf096345ca7929a14e7f8c4bbe8a232f1ec5c3e4932392",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-22T07:07:05Z",
    "title_canon_sha256": "94608e3fdcd18d115320622c6a3e1473c732e692d4b8587bfc2385238f468f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06977",
    "kind": "arxiv",
    "version": 1
  }
}