Pith Number

pith:35NRWVTI

pith:2015:35NRWVTIRQB6X7A7NYZ6YZAKDM

not attested not anchored not stored refs pending

Index theory of uniform pseudodifferential operators

Alexander Engel

arxiv:1502.00494 v3 · 2015-02-02 · 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{35NRWVTIRQB6X7A7NYZ6YZAKDM}

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	2026-05-18T00:04:24.483663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df5b1b56688c03ebfc1f6e33ec640a1b14f70d48651d679f8cefb8feb2d483cd

Aliases

arxiv: 1502.00494 · arxiv_version: 1502.00494v3 · doi: 10.48550/arxiv.1502.00494 · pith_short_12: 35NRWVTIRQB6 · pith_short_16: 35NRWVTIRQB6X7A7 · pith_short_8: 35NRWVTI

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/35NRWVTIRQB6X7A7NYZ6YZAKDM \
  | 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: df5b1b56688c03ebfc1f6e33ec640a1b14f70d48651d679f8cefb8feb2d483cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d6c849e24e08f2a844a8fa179003f25e970fe519a461c85238805019ad74840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-02T14:44:26Z",
    "title_canon_sha256": "17b06b4b541c80281f5aa686ef1a08824991d917b45f884d5c5691d81932118d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00494",
    "kind": "arxiv",
    "version": 3
  }
}