Pith Number

pith:2IFRRY5I

pith:2010:2IFRRY5ITDYD2EBRNBDNLNOWLC

not attested not anchored not stored refs pending

Perturbation of Sectorial Projections of Elliptic Pseudo-differential Operators

Bernhelm Booss-Bavnbek, Chaofeng Zhu, Guoyuan Chen, Matthias Lesch

arxiv:1101.0067 v4 · 2010-12-30 · math.SP · math.AP · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IFRRY5ITDYD2EBRNBDNLNOWLC}

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	2026-05-18T04:00:49.574587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d20b18e3a898f03d10316846d5b5d6589312464974f628b98ef58488fa1cc62a

Aliases

arxiv: 1101.0067 · arxiv_version: 1101.0067v4 · doi: 10.48550/arxiv.1101.0067 · pith_short_12: 2IFRRY5ITDYD · pith_short_16: 2IFRRY5ITDYD2EBR · pith_short_8: 2IFRRY5I

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/2IFRRY5ITDYD2EBRNBDNLNOWLC \
  | 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: d20b18e3a898f03d10316846d5b5d6589312464974f628b98ef58488fa1cc62a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a5d76f039f935d65d2b80fb24e4c96232bbcb6f0ed654ae0eae704c78c0707",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-30T10:31:22Z",
    "title_canon_sha256": "fed18634fc570c94d4bd5a3cf47c5386fce9f7bf2e6a50ad2bbf9d3f2effd6fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0067",
    "kind": "arxiv",
    "version": 4
  }
}