Pith Number

pith:QUNXTE3W

pith:2026:QUNXTE3WFUJHWJYHZ7HECGUYW6

not attested not anchored not stored refs pending

The Br{\o}ndsted-Rockafellar theorem in geodesic spaces

Alberto Dom\'inguez Corella, Alejandro Villegas-Acu\~na

arxiv:2606.00283 v1 · 2026-05-29 · math.OC · 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{QUNXTE3WFUJHWJYHZ7HECGUYW6}

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	2026-06-02T01:03:50.659227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851b7993762d127b2707cfce411a98b794a671bfbd8ae00e3a74a5e3bfc5f010

Aliases

arxiv: 2606.00283 · arxiv_version: 2606.00283v1 · doi: 10.48550/arxiv.2606.00283 · pith_short_12: QUNXTE3WFUJH · pith_short_16: QUNXTE3WFUJHWJYH · pith_short_8: QUNXTE3W

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/QUNXTE3WFUJHWJYHZ7HECGUYW6 \
  | 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: 851b7993762d127b2707cfce411a98b794a671bfbd8ae00e3a74a5e3bfc5f010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434f69c26f89b75e076c701c49dbb6c1b07043c4a7d2cd3328d8c334a16844ed",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-29T19:18:18Z",
    "title_canon_sha256": "6a4cdd5706be1c375a119c49f158944675f70e4667761166e3c561b18fa6b548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00283",
    "kind": "arxiv",
    "version": 1
  }
}