Pith Number

pith:4NMRY4VT

pith:2026:4NMRY4VTXKLPGVVRBJATN3EG2J

not attested not anchored not stored refs pending

A Weighted Spectral Quantum Fidelity

Cong Trinh Le, Minh Toan Ho, The Khoi Vu, Trung Hoa Dinh

arxiv:2605.17167 v1 · 2026-05-16 · math.FA · math-ph · math.MP · 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{4NMRY4VTXKLPGVVRBJATN3EG2J}

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	2026-05-20T00:03:42.955681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3591c72b3ba96f356b10a4136ec86d242d327dcf1710cba8b44f32476478d79

Aliases

arxiv: 2605.17167 · arxiv_version: 2605.17167v1 · doi: 10.48550/arxiv.2605.17167 · pith_short_12: 4NMRY4VTXKLP · pith_short_16: 4NMRY4VTXKLPGVVR · pith_short_8: 4NMRY4VT

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/4NMRY4VTXKLPGVVRBJATN3EG2J \
  | 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: e3591c72b3ba96f356b10a4136ec86d242d327dcf1710cba8b44f32476478d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4d52ff6b6076438d4ed5f450fe31cab168a6c08b6f9973fba91edd470e2d3e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-16T21:37:29Z",
    "title_canon_sha256": "c0fb42739d6c7e4bd097d34ee105dded60b4db3e095269e3a0d8615cafa60dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17167",
    "kind": "arxiv",
    "version": 1
  }
}