Pith Number

pith:V4L6W6QA

pith:2017:V4L6W6QAQAX3FH5HSDE5I24JMP

not attested not anchored not stored refs pending

Combinatorial Reductions for the Stanley Depth of $I$ and $S/I$

Mitchel T. Keller, Stephen J. Young

arxiv:1702.00781 v3 · 2017-02-02 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4L6W6QAQAX3FH5HSDE5I24JMP}

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	2026-05-18T00:36:38.966948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af17eb7a00802fb29fa790c9d46b8963c6bcdec81cb118a3818b95a9bc2787ae

Aliases

arxiv: 1702.00781 · arxiv_version: 1702.00781v3 · doi: 10.48550/arxiv.1702.00781 · pith_short_12: V4L6W6QAQAX3 · pith_short_16: V4L6W6QAQAX3FH5H · pith_short_8: V4L6W6QA

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/V4L6W6QAQAX3FH5HSDE5I24JMP \
  | 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: af17eb7a00802fb29fa790c9d46b8963c6bcdec81cb118a3818b95a9bc2787ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5259d2237adecae684d9734d40c6f7a0fc41ff07575d562c880b7b6d255f0325",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-02-02T18:46:20Z",
    "title_canon_sha256": "71324259a812de65eca3ec2f1a19ed5c21f239aaa1e12d4a13d2c3f725af3ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00781",
    "kind": "arxiv",
    "version": 3
  }
}