Pith Number

pith:BG2JMUEZ

pith:2024:BG2JMUEZ6CQ3JIXHTRVOTT3HY4

not attested not anchored not stored refs pending

Operator solutions of linear systems and small cancellation

Lu-Ming Zhang, William Slofstra

arxiv:2412.10305 v2 · 2024-12-13 · quant-ph · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG2JMUEZ6CQ3JIXHTRVOTT3HY4}

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	2026-05-20T00:00:17.039399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b4965099f0a1b4a2e79c6ae9cf67c72e65b28756379a212be397e8b66170bf

Aliases

arxiv: 2412.10305 · arxiv_version: 2412.10305v2 · doi: 10.48550/arxiv.2412.10305 · pith_short_12: BG2JMUEZ6CQ3 · pith_short_16: BG2JMUEZ6CQ3JIXH · pith_short_8: BG2JMUEZ

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/BG2JMUEZ6CQ3JIXHTRVOTT3HY4 \
  | 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: 09b4965099f0a1b4a2e79c6ae9cf67c72e65b28756379a212be397e8b66170bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a634ef63b40891098525e31c708f5fcfa23c7ba237b1f1ecfdcddd1ae23eedf",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-12-13T17:40:42Z",
    "title_canon_sha256": "7ed829d57517f129ec192f2b0d0ad759f9f474617282324b5f5fc26d168eb3fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.10305",
    "kind": "arxiv",
    "version": 2
  }
}