Pith Number

pith:X52NSPSZ

pith:2017:X52NSPSZWZFKO7JP7JF3FIOD6W

not attested not anchored not stored refs pending

Spectral theory for non-unitary twists

Anton Deitmar

arxiv:1703.03709 v2 · 2017-03-10 · math.FA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X52NSPSZWZFKO7JP7JF3FIOD6W}

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	2026-05-17T23:57:32.994556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf74d93e59b64aa77d2ffa4bb2a1c3f5ab78faa63055e49e687b029f9b2bda02

Aliases

arxiv: 1703.03709 · arxiv_version: 1703.03709v2 · doi: 10.48550/arxiv.1703.03709 · pith_short_12: X52NSPSZWZFK · pith_short_16: X52NSPSZWZFKO7JP · pith_short_8: X52NSPSZ

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/X52NSPSZWZFKO7JP7JF3FIOD6W \
  | 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: bf74d93e59b64aa77d2ffa4bb2a1c3f5ab78faa63055e49e687b029f9b2bda02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fa086b181bbff181da6bd31dfad52334253b95d89e40a7b4c52fb7bc2745c9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-10T15:15:58Z",
    "title_canon_sha256": "0fc9c4b86579326d5d99fa291e359f78dd34ef7109c1c9b676bce6089795b3a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03709",
    "kind": "arxiv",
    "version": 2
  }
}