Pith Number

pith:NIU3VEAR

pith:2026:NIU3VEARIP3NBUG3P3N2LD3CFB

not attested not anchored not stored refs pending

Wigner symmetries single out symmetric Wasserstein distances in all finite dimensions

Gergely Bunth

arxiv:2607.08298 v1 · 2026-07-09 · math-ph · math.MP · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIU3VEARIP3NBUG3P3N2LD3CFB}

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	2026-07-10T01:19:32.154794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a29ba901143f6d0d0db7edba58f62286c72544bcd84095bb996d71c55c4ad19

Aliases

arxiv: 2607.08298 · arxiv_version: 2607.08298v1 · doi: 10.48550/arxiv.2607.08298 · pith_short_12: NIU3VEARIP3N · pith_short_16: NIU3VEARIP3NBUG3 · pith_short_8: NIU3VEAR

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/NIU3VEARIP3NBUG3P3N2LD3CFB \
  | 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: 6a29ba901143f6d0d0db7edba58f62286c72544bcd84095bb996d71c55c4ad19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa91a28f736d409d4e045dab689c50be0ad874f1cc29e8c0d41cf6decd98d77a",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-09T09:41:00Z",
    "title_canon_sha256": "0b3a28276d4f4608c3e225986a58fa878f7983ccd66f6c12d3fca3081a884600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08298",
    "kind": "arxiv",
    "version": 1
  }
}