Pith Number

pith:PN2U3D6R

pith:2022:PN2U3D6RTTT6CEGYMMQNZMG7SD

not attested not anchored not stored refs pending

On some notions of rank for matrices over tracts

Matthew Baker, Noah Solomon, Tianyi Zhang

arxiv:2202.02356 v2 · 2022-02-04 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PN2U3D6RTTT6CEGYMMQNZMG7SD}

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	2026-07-05T11:29:44.223674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b754d8fd19ce7e110d86320dcb0df90f79fc0c0f9b14f765afcea9741511489

Aliases

arxiv: 2202.02356 · arxiv_version: 2202.02356v2 · doi: 10.48550/arxiv.2202.02356 · pith_short_12: PN2U3D6RTTT6 · pith_short_16: PN2U3D6RTTT6CEGY · pith_short_8: PN2U3D6R

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/PN2U3D6RTTT6CEGYMMQNZMG7SD \
  | 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: 7b754d8fd19ce7e110d86320dcb0df90f79fc0c0f9b14f765afcea9741511489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfff8b29aed74d825b032486bf2d4b180670694c52e536bc6c052d1e86c6f602",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-04T19:38:07Z",
    "title_canon_sha256": "46766b075dd59a9c2642cfdfed7693570fc8494f6066b7964d0a595972be9e7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.02356",
    "kind": "arxiv",
    "version": 2
  }
}