Pith Number

pith:GZLMRR5N

pith:2019:GZLMRR5N4GJ3H7GR2BECKYTEQ6

not attested not anchored not stored refs pending

On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces

Daniel Duarte, Hern\'an de Alba

arxiv:1908.01749 v2 · 2019-08-05 · 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{GZLMRR5N4GJ3H7GR2BECKYTEQ6}

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	2026-07-05T01:44:08.084452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3656c8c7ade193b3fcd1d048256264879a269fa65dbd45968af51cd4e5802bb1

Aliases

arxiv: 1908.01749 · arxiv_version: 1908.01749v2 · doi: 10.48550/arxiv.1908.01749 · pith_short_12: GZLMRR5N4GJ3 · pith_short_16: GZLMRR5N4GJ3H7GR · pith_short_8: GZLMRR5N

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/GZLMRR5N4GJ3H7GR2BECKYTEQ6 \
  | 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: 3656c8c7ade193b3fcd1d048256264879a269fa65dbd45968af51cd4e5802bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1d0d6063af92506500f9cb819751363830f5817b91a558e16521f256077300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-05T17:47:33Z",
    "title_canon_sha256": "94a7d5eadbdf24debf3586a43f5582c89f1cc7a0e9d967908c74481a91823e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01749",
    "kind": "arxiv",
    "version": 2
  }
}