Pith Number

pith:4SC3IMWQ

pith:2013:4SC3IMWQRATETFIR6Y34XTF63G

not attested not anchored not stored refs pending

Inequalities for generalized minors

Benjamin Schwarz

arxiv:1303.2683 v1 · 2013-03-11 · 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{4SC3IMWQRATETFIR6Y34XTF63G}

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	2026-05-18T03:31:08.395020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e485b432d08826499511f637cbccbed9b3ed47d07d90e1e4e80d8d950e8a06c9

Aliases

arxiv: 1303.2683 · arxiv_version: 1303.2683v1 · doi: 10.48550/arxiv.1303.2683 · pith_short_12: 4SC3IMWQRATE · pith_short_16: 4SC3IMWQRATETFIR · pith_short_8: 4SC3IMWQ

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/4SC3IMWQRATETFIR6Y34XTF63G \
  | 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: e485b432d08826499511f637cbccbed9b3ed47d07d90e1e4e80d8d950e8a06c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6caf9f68bfbe0eba0448e2894e7b3aa0c6242e9044d340dd51cd1a92b459c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-03-11T20:48:39Z",
    "title_canon_sha256": "4c5c8bb7df3ef40717c354ff191ccf0686d830a1f9f24108094ae7887eab3c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2683",
    "kind": "arxiv",
    "version": 1
  }
}