Pith Number

pith:E32CYTDY

pith:2023:E32CYTDYWJUEFULUCTRZPWCCQ2

not attested not anchored not stored refs pending

On the Geometry of the Birkhoff Polytope. I. The operator $\ell^p_n$-norms

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

arxiv:2310.14041 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{E32CYTDYWJUEFULUCTRZPWCCQ2}

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	2026-06-23T02:13:12.067963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f42c4c78b26842d17414e397d84286b7b78885328b83935291c8876dee5f1b

Aliases

arxiv: 2310.14041 · arxiv_version: 2310.14041v1 · doi: 10.48550/arxiv.2310.14041 · pith_short_12: E32CYTDYWJUE · pith_short_16: E32CYTDYWJUEFULU · pith_short_8: E32CYTDY

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/E32CYTDYWJUEFULUCTRZPWCCQ2 \
  | 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: 26f42c4c78b26842d17414e397d84286b7b78885328b83935291c8876dee5f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4808b7aec705046301fae64a55f1464e91f0b199457fb3b5a6c6df1113ae32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-10-21T15:36:22Z",
    "title_canon_sha256": "d85d6f23bbeff9e8e25b861b29ca2b340c70949d67db73b4a6c203f237787bc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14041",
    "kind": "arxiv",
    "version": 1
  }
}