Pith Number

pith:CA2ZNXX7

pith:2013:CA2ZNXX7NQW6JSCQAA4YFS2WTI

not attested not anchored not stored refs pending

A symbolic calculus for Fourier integral operators

Yuri Safarov

arxiv:1308.4073 v1 · 2013-08-19 · 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{CA2ZNXX7NQW6JSCQAA4YFS2WTI}

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	2026-05-18T03:15:34.929954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103596deff6c2de4c850003982cb569a0acc711c76cfe5b96c4c07d4871036cf

Aliases

arxiv: 1308.4073 · arxiv_version: 1308.4073v1 · doi: 10.48550/arxiv.1308.4073 · pith_short_12: CA2ZNXX7NQW6 · pith_short_16: CA2ZNXX7NQW6JSCQ · pith_short_8: CA2ZNXX7

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/CA2ZNXX7NQW6JSCQAA4YFS2WTI \
  | 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: 103596deff6c2de4c850003982cb569a0acc711c76cfe5b96c4c07d4871036cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280af4d46291672294b04a2e3fba14ad70fbd0f41507e90267b940ec787473e3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-19T16:47:31Z",
    "title_canon_sha256": "6fcfc6e331841d137daa8e186e5787d332e4000d2737aaac9487dd9a4485851d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4073",
    "kind": "arxiv",
    "version": 1
  }
}