Pith Number

pith:NLZZLU5R

pith:2017:NLZZLU5RNIJK2LXUHQBTMVLT57

not attested not anchored not stored refs pending

A generalization of an inequality of Lech relating multiplicity and colength

Craig Huneke, Ilya Smirnov, Javid Validashti

arxiv:1711.06951 v2 · 2017-11-19 · 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{NLZZLU5RNIJK2LXUHQBTMVLT57}

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	2026-05-18T00:00:09.020222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af395d3b16a12ad2ef43c03365573efffd42bb740bf5c68ec09c64d0c42afb7

Aliases

arxiv: 1711.06951 · arxiv_version: 1711.06951v2 · doi: 10.48550/arxiv.1711.06951 · pith_short_12: NLZZLU5RNIJK · pith_short_16: NLZZLU5RNIJK2LXU · pith_short_8: NLZZLU5R

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/NLZZLU5RNIJK2LXUHQBTMVLT57 \
  | 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: 6af395d3b16a12ad2ef43c03365573efffd42bb740bf5c68ec09c64d0c42afb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebfeea2099c97212e10d52de1ce859f16b3a4f5b39a62c3c46546aeef9942e1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-11-19T01:49:54Z",
    "title_canon_sha256": "07724a8a21c69b47a27fc97ed22edd37880f1d39dba5b59a443b740d444b4976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06951",
    "kind": "arxiv",
    "version": 2
  }
}