Pith Number

pith:7TGBUAC3

pith:2018:7TGBUAC3SBZGB5DM7GY6RSCENK

not attested not anchored not stored refs pending

Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes

Marco Cappiello, Patrik Wahlberg, Ren\'e Schulz

arxiv:1802.04729 v2 · 2018-02-13 · 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{7TGBUAC3SBZGB5DM7GY6RSCENK}

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	2026-05-17T23:51:56.032514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fccc1a005b907260f46cf9b1e8c8446a928d2ee33aec66b4281ff86de0c8d043

Aliases

arxiv: 1802.04729 · arxiv_version: 1802.04729v2 · doi: 10.48550/arxiv.1802.04729 · pith_short_12: 7TGBUAC3SBZG · pith_short_16: 7TGBUAC3SBZGB5DM · pith_short_8: 7TGBUAC3

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/7TGBUAC3SBZGB5DM7GY6RSCENK \
  | 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: fccc1a005b907260f46cf9b1e8c8446a928d2ee33aec66b4281ff86de0c8d043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f6192574efa74523ba41599398cc8e607a2d768cc84102abc0dbabc600a161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-13T16:50:16Z",
    "title_canon_sha256": "6804f523185e0a1b947c1ffda6b50548925944daded2848187ff3534e13e0dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04729",
    "kind": "arxiv",
    "version": 2
  }
}