Pith Number

pith:YC3NK6OQ

pith:2016:YC3NK6OQGZVB5K67VSNVPZWJIH

not attested not anchored not stored refs pending

Finite lattices and Koszul Filtrations

Dancheng Lu, Ke Zhang

arxiv:1609.05289 v2 · 2016-09-17 · 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{YC3NK6OQGZVB5K67VSNVPZWJIH}

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	2026-05-18T00:51:25.304246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b6d579d0366a1eabdfac9b57e6c941f90c112fabe0b5c1b9522aa74c19587e

Aliases

arxiv: 1609.05289 · arxiv_version: 1609.05289v2 · doi: 10.48550/arxiv.1609.05289 · pith_short_12: YC3NK6OQGZVB · pith_short_16: YC3NK6OQGZVB5K67 · pith_short_8: YC3NK6OQ

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/YC3NK6OQGZVB5K67VSNVPZWJIH \
  | 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: c0b6d579d0366a1eabdfac9b57e6c941f90c112fabe0b5c1b9522aa74c19587e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3931229e02c6e1449ab48d16fe788c23952a8b062610ecdeff9b790fe5394e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-09-17T07:21:41Z",
    "title_canon_sha256": "6b7172b3229d65a451f0c1866f13789ba4675aae23495476e6208bc3b5cbff64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05289",
    "kind": "arxiv",
    "version": 2
  }
}