Pith Number

pith:6PLAOBAG

pith:2012:6PLAOBAGQ6C2WZVODFTG63YP6O

not attested not anchored not stored refs pending

On the convexity of the function C --> f(det C) on positive definite matrices

Johannes Lankeit, Patrizio Neff, Stephan Lehmich

arxiv:1209.5535 v1 · 2012-09-25 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PLAOBAGQ6C2WZVODFTG63YP6O}

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	2026-05-18T03:44:48.256837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d60704068785ab66ae19666f6f0ff3b7426697f9981b11a801574dc230fc71

Aliases

arxiv: 1209.5535 · arxiv_version: 1209.5535v1 · doi: 10.48550/arxiv.1209.5535 · pith_short_12: 6PLAOBAGQ6C2 · pith_short_16: 6PLAOBAGQ6C2WZVO · pith_short_8: 6PLAOBAG

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/6PLAOBAGQ6C2WZVODFTG63YP6O \
  | 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: f3d60704068785ab66ae19666f6f0ff3b7426697f9981b11a801574dc230fc71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add61e9fc7cabc48abd09a34cf8be9ef80ed15b074bc1c29d57e82c5fb5bbc2d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-25T08:36:01Z",
    "title_canon_sha256": "9cdccb1a845953d0aa4d09300e16f293e89899b4dd3ee58de8e49372de6bf566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5535",
    "kind": "arxiv",
    "version": 1
  }
}