Pith Number

pith:BLMN4QEW

pith:2025:BLMN4QEWY434GKT5T3VKDTDCNP

not attested not anchored not stored refs pending

Strict concavity properties of cross covariograms

Almut Burchard, Gabriele Bianchi, Lawrence Lin

arxiv:2508.03887 v1 · 2025-08-05 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLMN4QEWY434GKT5T3VKDTDCNP}

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.

Cited by

1 paper in Pith

Strict concavity properties of cross covariograms

Receipt and verification

First computed	2026-07-05T11:49:16.791003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad8de4096c737c32a7d9eeaa1cc626bda9ba47ca474203396b2a489eb7c6070

Aliases

arxiv: 2508.03887 · arxiv_version: 2508.03887v1 · doi: 10.48550/arxiv.2508.03887 · pith_short_12: BLMN4QEWY434 · pith_short_16: BLMN4QEWY434GKT5 · pith_short_8: BLMN4QEW

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/BLMN4QEWY434GKT5T3VKDTDCNP \
  | 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: 0ad8de4096c737c32a7d9eeaa1cc626bda9ba47ca474203396b2a489eb7c6070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17220888ff01434440f7e8b76fa46fa4f11c494bf3c3912dbf35063df1f1026c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-08-05T20:15:43Z",
    "title_canon_sha256": "d6a6a350b50e0319bc067dd4eb325d9e6b610a20bd8db54e28a712da7f54c35e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03887",
    "kind": "arxiv",
    "version": 1
  }
}