Pith Number

pith:R3K2DKLL

pith:2010:R3K2DKLLTUF2OD36VUDN5NPLBG

not attested not anchored not stored refs pending

On the Noncommutative Residue for Projective Pseudodifferential Operators

Alexander Strohmaier, J\"org Seiler

arxiv:1005.3953 v3 · 2010-05-21 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3K2DKLLTUF2OD36VUDN5NPLBG}

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	2026-05-18T01:32:58.164654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed5a1a96b9d0ba70f7ead06deb5eb09894393f73cc05ebfd8a8ad6b6e9cf34e

Aliases

arxiv: 1005.3953 · arxiv_version: 1005.3953v3 · doi: 10.48550/arxiv.1005.3953 · pith_short_12: R3K2DKLLTUF2 · pith_short_16: R3K2DKLLTUF2OD36 · pith_short_8: R3K2DKLL

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/R3K2DKLLTUF2OD36VUDN5NPLBG \
  | 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: 8ed5a1a96b9d0ba70f7ead06deb5eb09894393f73cc05ebfd8a8ad6b6e9cf34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5bc64dafd06984d2445836e797e02ea6608c2e0fd5e86d0b515bff1b744e89c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-21T13:31:47Z",
    "title_canon_sha256": "9ef2f8f20974138f5fa6249cf04ed9fecdc8d224a7d86601a7c883f6b1e457d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3953",
    "kind": "arxiv",
    "version": 3
  }
}