Pith Number

pith:PJS3DH2L

pith:2015:PJS3DH2LBB5R7YX4QQYDDHOS3F

not attested not anchored not stored refs pending

On the Frobenius complexity of determinantal rings

Florian Enescu, Yongwei Yao

arxiv:1503.03164 v2 · 2015-03-11 · 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{PJS3DH2LBB5R7YX4QQYDDHOS3F}

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	2026-05-18T01:30:15.236217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a65b19f4b087b1fe2fc8430319dd2d944ce470884b3e8a2508ddc28efcf913a

Aliases

arxiv: 1503.03164 · arxiv_version: 1503.03164v2 · doi: 10.48550/arxiv.1503.03164 · pith_short_12: PJS3DH2LBB5R · pith_short_16: PJS3DH2LBB5R7YX4 · pith_short_8: PJS3DH2L

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/PJS3DH2LBB5R7YX4QQYDDHOS3F \
  | 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: 7a65b19f4b087b1fe2fc8430319dd2d944ce470884b3e8a2508ddc28efcf913a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbccda877890a3af9ee6204eb0399e4ca63f0b728ff490e5b4cfcf76eae4d55b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-11T03:54:40Z",
    "title_canon_sha256": "48e7292a8acd0f63643871dba309ac89946723b8c2413116af4e796414389526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03164",
    "kind": "arxiv",
    "version": 2
  }
}