Pith Number

pith:PPV6JHL7

pith:2026:PPV6JHL7PDPPE5K3IXIAFJDNHV

not attested not anchored not stored refs pending

Semi-Invariants of a Matrix and Covector

Jonathan Elmer

arxiv:2607.12738 v1 · 2026-07-14 · 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{PPV6JHL7PDPPE5K3IXIAFJDNHV}

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	2026-07-15T01:22:15.286933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bebe49d7f78def2755b45d002a46d3d4dbee8dbf20429cca6cf4f2f270d6977

Aliases

arxiv: 2607.12738 · arxiv_version: 2607.12738v1 · doi: 10.48550/arxiv.2607.12738 · pith_short_12: PPV6JHL7PDPP · pith_short_16: PPV6JHL7PDPPE5K3 · pith_short_8: PPV6JHL7

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/PPV6JHL7PDPPE5K3IXIAFJDNHV \
  | 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: 7bebe49d7f78def2755b45d002a46d3d4dbee8dbf20429cca6cf4f2f270d6977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e163c0da940003d94cc520a0f42516beed490ee36f4fff0897dfca96805993",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-07-14T13:10:30Z",
    "title_canon_sha256": "c47e78da7dfd928d35ab58cca511b1fc68d6a6df52956a06c81561dcb84ade4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12738",
    "kind": "arxiv",
    "version": 1
  }
}