Pith Number

pith:QGVP4FRJ

pith:2016:QGVP4FRJ2LUTOOK6RGLBND4WYQ

not attested not anchored not stored refs pending

Towards Hilbert-Kunz density functions in Characteristic $0$

Vijaylaxmi Trivedi

arxiv:1601.01775 v2 · 2016-01-08 · 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{QGVP4FRJ2LUTOOK6RGLBND4WYQ}

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	2026-05-18T00:52:04.145268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81aafe1629d2e937395e8996168f96c4294cec8d80c0f6d2970622c9865fb579

Aliases

arxiv: 1601.01775 · arxiv_version: 1601.01775v2 · doi: 10.48550/arxiv.1601.01775 · pith_short_12: QGVP4FRJ2LUT · pith_short_16: QGVP4FRJ2LUTOOK6 · pith_short_8: QGVP4FRJ

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/QGVP4FRJ2LUTOOK6RGLBND4WYQ \
  | 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: 81aafe1629d2e937395e8996168f96c4294cec8d80c0f6d2970622c9865fb579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d30a75dd2f7b1bd5c67ccb3148d1ddc7095acbb240467bdff2a9f3b252c91aa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-08T06:51:45Z",
    "title_canon_sha256": "5f6cd5f9545195317e211db9fd0176c8114d7c0a6eddf313d574518ea0f55856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01775",
    "kind": "arxiv",
    "version": 2
  }
}