Pith Number

pith:O7U4REFS

pith:2007:O7U4REFSKBNCRW65B6EZWQ2CEM

not attested not anchored not stored refs pending

Time-Frequency Analysis of Fourier Integral Operators

Elena Cordero, Fabio Nicola, Luigi Rodino

arxiv:0710.3652 v1 · 2007-10-19 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7U4REFSKBNCRW65B6EZWQ2CEM}

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	2026-05-18T01:11:55.679675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e9c890b2505a28dbdd0f899b4342232605f7b6dc73f4324d29ff309512d2d4

Aliases

arxiv: 0710.3652 · arxiv_version: 0710.3652v1 · doi: 10.48550/arxiv.0710.3652 · pith_short_12: O7U4REFSKBNC · pith_short_16: O7U4REFSKBNCRW65 · pith_short_8: O7U4REFS

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/O7U4REFSKBNCRW65B6EZWQ2CEM \
  | 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: 77e9c890b2505a28dbdd0f899b4342232605f7b6dc73f4324d29ff309512d2d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0917a96bc4946e65721ad6279fbc69f5fb620ff367735c8c434c5f595c46cdac",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-10-19T08:32:47Z",
    "title_canon_sha256": "283a5d00b9a16e89dba3d2501b5cd1153248eefa7e2b2fb09367948713571a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3652",
    "kind": "arxiv",
    "version": 1
  }
}