Pith Number

pith:KBAMIFNO

pith:2007:KBAMIFNOQTPBRAC3MHKNEYEAXH

not attested not anchored not stored refs pending

Trace ideals for Fourier integral operators with non-smooth symbols II

Francesco Concetti, Gianluca Garello, Joachim Toft

arxiv:0710.3834 v1 · 2007-10-20 · math.AP · 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{KBAMIFNOQTPBRAC3MHKNEYEAXH}

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	2026-05-18T02:49:46.368585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5040c415ae84de18805b61d4d26080b9d57b17c071118639bf7bb90e3cd17a43

Aliases

arxiv: 0710.3834 · arxiv_version: 0710.3834v1 · doi: 10.48550/arxiv.0710.3834 · pith_short_12: KBAMIFNOQTPB · pith_short_16: KBAMIFNOQTPBRAC3 · pith_short_8: KBAMIFNO

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/KBAMIFNOQTPBRAC3MHKNEYEAXH \
  | 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: 5040c415ae84de18805b61d4d26080b9d57b17c071118639bf7bb90e3cd17a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d6326fc3691598fddf70f8e9e5229be2ecab2daac8455195915772c26e5bb6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-10-20T11:27:08Z",
    "title_canon_sha256": "8911a313c6f6a93bd48d0dff49f94a5e6bae92b74e75d70eb8f7e5c9600a054e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3834",
    "kind": "arxiv",
    "version": 1
  }
}