Pith Number

pith:3BH5FKQX

pith:2015:3BH5FKQXGHQ2F2Y3MNDMVAIBBW

not attested not anchored not stored refs pending

Spectral limits of semiclassical commuting self-adjoint operators

\'Alvaro Pelayo, San V\~u Ngoc

arxiv:1506.04591 v1 · 2015-06-15 · math.SP · math-ph · math.AP · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BH5FKQXGHQ2F2Y3MNDMVAIBBW}

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	2026-05-18T01:49:25.427982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d84fd2aa1731e1a2eb1b6346ca81010da96ff11c8ddc098638b5bcd9c489cf64

Aliases

arxiv: 1506.04591 · arxiv_version: 1506.04591v1 · doi: 10.48550/arxiv.1506.04591 · pith_short_12: 3BH5FKQXGHQ2 · pith_short_16: 3BH5FKQXGHQ2F2Y3 · pith_short_8: 3BH5FKQX

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/3BH5FKQXGHQ2F2Y3MNDMVAIBBW \
  | 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: d84fd2aa1731e1a2eb1b6346ca81010da96ff11c8ddc098638b5bcd9c489cf64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76f6392667cf5af6f8f4ab7b33e5dbcab2bf93f5bfac55484c372d921633340",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-06-15T13:40:48Z",
    "title_canon_sha256": "9a1f15ee56f5a18fcdae692539543fc34c741278e19fb9ebc397b1450a1a0fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04591",
    "kind": "arxiv",
    "version": 1
  }
}