Pith Number

pith:QWDRB66T

pith:2017:QWDRB66T7ZN6ZLPQHKYY2FN7DP

not attested not anchored not stored refs pending

The s-multiplicity function of 2x2-determinantal rings

Lance Edward Miller, William D. Taylor

arxiv:1708.06287 v2 · 2017-08-21 · 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{QWDRB66T7ZN6ZLPQHKYY2FN7DP}

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	2026-05-18T00:32:57.403929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858710fbd3fe5becadf03ab18d15bf1be7aaaeb12fc5635c4efcc8b2cf8c99e4

Aliases

arxiv: 1708.06287 · arxiv_version: 1708.06287v2 · doi: 10.48550/arxiv.1708.06287 · pith_short_12: QWDRB66T7ZN6 · pith_short_16: QWDRB66T7ZN6ZLPQ · pith_short_8: QWDRB66T

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/QWDRB66T7ZN6ZLPQHKYY2FN7DP \
  | 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: 858710fbd3fe5becadf03ab18d15bf1be7aaaeb12fc5635c4efcc8b2cf8c99e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6352b5e3df4c5d53b307ce9a4c74714b12fad4cd797a05acaeef3029f5aecf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-21T15:32:44Z",
    "title_canon_sha256": "0a542565b46cba6e21f2991e09621d0f4f362a8a5dc34ec6e9342ca5377d5157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06287",
    "kind": "arxiv",
    "version": 2
  }
}