Pith Number

pith:LX2FC2OR

pith:2023:LX2FC2ORBLHYVVMTQGW6NNLIRR

not attested not anchored not stored refs pending

On the Geometry of the Birkhoff Polytope. II. The Schatten $p$-norms

Fr\'ed\'eric Morneau-Gu\'erin, Javad Mashreghi, Ludovick Bouthat

arxiv:2310.14043 v1 · 2023-10-21 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LX2FC2ORBLHYVVMTQGW6NNLIRR}

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	2026-06-23T02:13:12.087226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df45169d10acf8ad59381ade6b5688c7a3876b959875ec58500093cf62f6ee5

Aliases

arxiv: 2310.14043 · arxiv_version: 2310.14043v1 · doi: 10.48550/arxiv.2310.14043 · pith_short_12: LX2FC2ORBLHY · pith_short_16: LX2FC2ORBLHYVVMT · pith_short_8: LX2FC2OR

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/LX2FC2ORBLHYVVMTQGW6NNLIRR \
  | 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: 5df45169d10acf8ad59381ade6b5688c7a3876b959875ec58500093cf62f6ee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d291bd47db8e1ebb21bb675e6c67cbab4cf1b62b9761f692860ce7bfca3e2a91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-10-21T15:40:32Z",
    "title_canon_sha256": "ed247717bd0098c3c43bbe65ee337eed40ef8c0e20d3c1934829410862584fcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14043",
    "kind": "arxiv",
    "version": 1
  }
}