Pith Number

pith:5JPI4R2N

pith:2018:5JPI4R2N4DNTJY57EFCVEVHRMM

not attested not anchored not stored refs pending

A Novel Fourier Theory on Non-linear Phases and Applications

Tao Qian

arxiv:1805.06101 v1 · 2018-05-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JPI4R2N4DNTJY57EFCVEVHRMM}

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	2026-05-18T00:15:48.901843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5e8e474de0db34e3bf21455254f163105008779d3e01d5c8d1ab6749328901

Aliases

arxiv: 1805.06101 · arxiv_version: 1805.06101v1 · doi: 10.48550/arxiv.1805.06101 · pith_short_12: 5JPI4R2N4DNT · pith_short_16: 5JPI4R2N4DNTJY57 · pith_short_8: 5JPI4R2N

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/5JPI4R2N4DNTJY57EFCVEVHRMM \
  | 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: ea5e8e474de0db34e3bf21455254f163105008779d3e01d5c8d1ab6749328901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b0fad2f25f1381c326d1f6be8837916faebf0a4e93f9a20c7fabdc9f7d84fe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-05-16T02:43:02Z",
    "title_canon_sha256": "f7dc9ccdec6d0e381e25cbc00b2da9b3282ef9f08e2647ee6572f3d1623af39b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06101",
    "kind": "arxiv",
    "version": 1
  }
}