Pith Number

pith:JTVTYLBZ

pith:2021:JTVTYLBZN3YTHLKNTPKKRIGXHQ

not attested not anchored not stored refs pending

Rank of matrices with entries from a multiplicative group

Jozsef Solymosi, Noga Alon

arxiv:2109.00618 v1 · 2021-09-01 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTVTYLBZN3YTHLKNTPKKRIGXHQ}

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	2026-07-05T03:10:56.969956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ceb3c2c396ef133ad4d9bd4a8a0d73c26df07733c9675dd27e94ce1b7b6522e

Aliases

arxiv: 2109.00618 · arxiv_version: 2109.00618v1 · doi: 10.48550/arxiv.2109.00618 · pith_short_12: JTVTYLBZN3YT · pith_short_16: JTVTYLBZN3YTHLKN · pith_short_8: JTVTYLBZ

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/JTVTYLBZN3YTHLKNTPKKRIGXHQ \
  | 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: 4ceb3c2c396ef133ad4d9bd4a8a0d73c26df07733c9675dd27e94ce1b7b6522e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0694587dcc06291e549f53b60d1b2d58d8cdd41489c255947b94f37ac61c1f12",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-01T21:27:16Z",
    "title_canon_sha256": "cee042c3b906ba2fc8f965361caa9c13b29989429bde278a856604f6e18f79ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00618",
    "kind": "arxiv",
    "version": 1
  }
}