Pith Number

pith:Q25NRMEM

pith:2026:Q25NRMEMY5IFSLPTZ6LCZOESUJ

not attested not anchored not stored refs pending

Compact quantum metric spaces from free probability

David Jekel, Therese Basa Landry

arxiv:2606.19578 v1 · 2026-06-17 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q25NRMEMY5IFSLPTZ6LCZOESUJ}

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	2026-06-19T16:12:29.358058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86bad8b08cc750592df3cf962cb892a26aa4b6e90a3b9351136ef3d00ae0b48d

Aliases

arxiv: 2606.19578 · arxiv_version: 2606.19578v1 · doi: 10.48550/arxiv.2606.19578 · pith_short_12: Q25NRMEMY5IF · pith_short_16: Q25NRMEMY5IFSLPT · pith_short_8: Q25NRMEM

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/Q25NRMEMY5IFSLPTZ6LCZOESUJ \
  | 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: 86bad8b08cc750592df3cf962cb892a26aa4b6e90a3b9351136ef3d00ae0b48d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0a1bf803205469af97920984653a47162c8c24cd44f40d28a9ccb80397a016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-17T20:31:44Z",
    "title_canon_sha256": "e9da4a76925f15c1745cfa0620dd12bc98471a2cdf78d4d4100da5e961d0bec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19578",
    "kind": "arxiv",
    "version": 1
  }
}