Pith Number

pith:ZLLXLKAN

pith:2011:ZLLXLKAN53M2TVYWAVQCPTFX65

not attested not anchored not stored refs pending

A trace formula for differential operators of arbitrary order

D. R. Yafaev, J. Ostensson

arxiv:1104.5439 v1 · 2011-04-28 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLLXLKAN53M2TVYWAVQCPTFX65}

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	2026-05-18T04:23:21.467119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad775a80deed9a9d716056027ccb7f76bebe03e965928fe7f0cb0191649e16c

Aliases

arxiv: 1104.5439 · arxiv_version: 1104.5439v1 · doi: 10.48550/arxiv.1104.5439 · pith_short_12: ZLLXLKAN53M2 · pith_short_16: ZLLXLKAN53M2TVYW · pith_short_8: ZLLXLKAN

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/ZLLXLKAN53M2TVYWAVQCPTFX65 \
  | 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: cad775a80deed9a9d716056027ccb7f76bebe03e965928fe7f0cb0191649e16c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab2ea24b016fbbba7303d07ea54aa715c2912efb9b285e267f92ba967b90a9ea",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-04-28T16:31:57Z",
    "title_canon_sha256": "f8aca5a70fa8ccce0c50f372090c810c284b0f43354763f65acc5a9de86dd256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5439",
    "kind": "arxiv",
    "version": 1
  }
}