Pith Number

pith:DTS6SPNI

pith:2013:DTS6SPNI2P4X2BIJRAZXGRXZKW

not attested not anchored not stored refs pending

Functions of perturbed $n$-tuples of commuting self-adjoint operators

Fyodor Nazarov, Vladimir Peller

arxiv:1308.5147 v1 · 2013-08-23 · math.FA · math.CA · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTS6SPNI2P4X2BIJRAZXGRXZKW}

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	2026-05-18T03:15:08.014222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce5e93da8d3f97d050988337346f9558e5456778cc762d57f2133a676232035

Aliases

arxiv: 1308.5147 · arxiv_version: 1308.5147v1 · doi: 10.48550/arxiv.1308.5147 · pith_short_12: DTS6SPNI2P4X · pith_short_16: DTS6SPNI2P4X2BIJ · pith_short_8: DTS6SPNI

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/DTS6SPNI2P4X2BIJRAZXGRXZKW \
  | 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: 1ce5e93da8d3f97d050988337346f9558e5456778cc762d57f2133a676232035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f23543351252d4c9e33f48ea238815365ddea8fedb03f210a51f11fd0b7225",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-23T14:53:42Z",
    "title_canon_sha256": "e0630fa3a80987f2d1cbcd56315782497d1400235b2866188620170fa057ba30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5147",
    "kind": "arxiv",
    "version": 1
  }
}