Pith Number

pith:P5E3NL5I

pith:2026:P5E3NL5IB2LNCKFYDDWAG5A7RG

not attested not anchored not stored refs pending

Optimal Vector Balancing for Zonotopes

Victor Reis

arxiv:2605.23866 v1 · 2026-05-22 · math.MG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5E3NL5IB2LNCKFYDDWAG5A7RG}

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	2026-05-25T02:02:36.753979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f49b6afa80e96d128b818ec03741f89b1b1dd88f6c16e1fa5119688f2784a16

Aliases

arxiv: 2605.23866 · arxiv_version: 2605.23866v1 · doi: 10.48550/arxiv.2605.23866 · pith_short_12: P5E3NL5IB2LN · pith_short_16: P5E3NL5IB2LNCKFY · pith_short_8: P5E3NL5I

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/P5E3NL5IB2LNCKFYDDWAG5A7RG \
  | 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: 7f49b6afa80e96d128b818ec03741f89b1b1dd88f6c16e1fa5119688f2784a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d7dfe901f2b1b1c59f53bfcc35200f3556730d81bc998a80511b4807c33e2f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-05-22T17:25:00Z",
    "title_canon_sha256": "61cc30fd31185179cd3417c61d5f23e97d1ebd43bdfcefcca6c9335988a7700d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23866",
    "kind": "arxiv",
    "version": 1
  }
}