Pith Number

pith:XW6ERYLI

pith:2008:XW6ERYLIZ55LF2DAOEBJ7PPKO2

not attested not anchored not stored refs pending

Pseudodifferential operators on manifolds with linearization

Cyril Levy

arxiv:0811.1667 v3 · 2008-11-11 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XW6ERYLIZ55LF2DAOEBJ7PPKO2}

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.

Cited by

1 paper in Pith

Pseudodifferential Weyl calculus on vector bundles

Receipt and verification

First computed	2026-07-04T15:48:59.947244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdbc48e168cf7ab2e86071029fbdea76b8d02e5db12cbc101b926add8a0988a7

Aliases

arxiv: 0811.1667 · arxiv_version: 0811.1667v3 · doi: 10.48550/arxiv.0811.1667 · pith_short_12: XW6ERYLIZ55L · pith_short_16: XW6ERYLIZ55LF2DA · pith_short_8: XW6ERYLI

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/XW6ERYLIZ55LF2DAOEBJ7PPKO2 \
  | 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: bdbc48e168cf7ab2e86071029fbdea76b8d02e5db12cbc101b926add8a0988a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8c105a3643f04cdb70223c88b17ea41446596a7d3dc66cf79a661151bb1a75",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-11-11T16:23:42Z",
    "title_canon_sha256": "75bcb94020ccfd1937107cb8699e5c73a9ac2b23bc46ca27d431485577bcbcb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1667",
    "kind": "arxiv",
    "version": 3
  }
}