Pith Number

pith:WCOUZQYH

pith:2017:WCOUZQYHSI6OI3SPLMY66XGSXW

not attested not anchored not stored refs pending

The Dixmier trace and the noncommutative residue for multipliers on compact manifolds

C\'esar Del Corral, Duv\'an Cardona

arxiv:1703.07453 v3 · 2017-03-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCOUZQYHSI6OI3SPLMY66XGSXW}

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	2026-05-18T00:09:00.699533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09d4cc307923ce46e4f5b31ef5cd2bda8c195f38016cf90a85b1db1e644e4ff

Aliases

arxiv: 1703.07453 · arxiv_version: 1703.07453v3 · doi: 10.48550/arxiv.1703.07453 · pith_short_12: WCOUZQYHSI6O · pith_short_16: WCOUZQYHSI6OI3SP · pith_short_8: WCOUZQYH

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/WCOUZQYHSI6OI3SPLMY66XGSXW \
  | 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: b09d4cc307923ce46e4f5b31ef5cd2bda8c195f38016cf90a85b1db1e644e4ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc285fff925fdfdd0e32bfb8ef2b9efa6f6204a88f04b72e2ff78bb3847296c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-21T22:18:13Z",
    "title_canon_sha256": "a7f5f3021bdcf46ac810ed56a1be895755cf3ae183b5fd809fa5d10f48edc5ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07453",
    "kind": "arxiv",
    "version": 3
  }
}