Pith Number

pith:LXTM47SA

pith:2019:LXTM47SAIR4UX3276Q3MOQTV3H

not attested not anchored not stored refs pending

Hilbert-Kunz Multiplicity of Fibers and Bertini Theorems

Austyn Simpson, Rankeya Datta

arxiv:1908.04819 v2 · 2019-08-13 · math.AG · 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{LXTM47SAIR4UX3276Q3MOQTV3H}

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	2026-07-05T00:49:37.602776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de6ce7e4044794bef5ff436c74275d9ce1f40df5e60490c3df843e5bed00fb0

Aliases

arxiv: 1908.04819 · arxiv_version: 1908.04819v2 · doi: 10.48550/arxiv.1908.04819 · pith_short_12: LXTM47SAIR4U · pith_short_16: LXTM47SAIR4UX327 · pith_short_8: LXTM47SA

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/LXTM47SAIR4UX3276Q3MOQTV3H \
  | 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: 5de6ce7e4044794bef5ff436c74275d9ce1f40df5e60490c3df843e5bed00fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2bfc12575128f6d1006942df8f9e5b85524f8987d8ca0cfe512a4e2a4b660c1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-13T18:47:26Z",
    "title_canon_sha256": "6b0d283b68f3547744a636aa665db1aaeb65baba665a2e0bb998a70ce3d20988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04819",
    "kind": "arxiv",
    "version": 2
  }
}