Pith Number

pith:5TPBP3BU

pith:2026:5TPBP3BUUSUQXT4LHE4OJF5JTO

not attested not anchored not stored refs pending

Non-Archimedean Polydisc Spaces and Applications to Optimisation

Anthea Monod, Paul Lezeau, Yiannis Fam, Yue Ren

arxiv:2606.07782 v1 · 2026-06-05 · math.OC · cs.LG · 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{5TPBP3BUUSUQXT4LHE4OJF5JTO}

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	2026-06-09T01:04:52.112687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecde17ec34a4a90bcf8b3938e497a99b87f9f485143223b3f0ee3c0c6541844d

Aliases

arxiv: 2606.07782 · arxiv_version: 2606.07782v1 · doi: 10.48550/arxiv.2606.07782 · pith_short_12: 5TPBP3BUUSUQ · pith_short_16: 5TPBP3BUUSUQXT4L · pith_short_8: 5TPBP3BU

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/5TPBP3BUUSUQXT4LHE4OJF5JTO \
  | 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: ecde17ec34a4a90bcf8b3938e497a99b87f9f485143223b3f0ee3c0c6541844d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70d4224ca7d5e943180bd3347d5f2beec1781447f3ef03e3ae96d0daebef562",
    "cross_cats_sorted": [
      "cs.LG",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-05T18:52:51Z",
    "title_canon_sha256": "2ca300bc3e5d89ea6266d54a78e8c0ea71bf802149b186716c67463a9e6feb8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07782",
    "kind": "arxiv",
    "version": 1
  }
}