Pith Number

pith:NXY2ATWM

pith:2017:NXY2ATWMNAZ7OR3LT6XUSFP4WM

not attested not anchored not stored refs pending

Generic colourful tori and inverse spectral transform for Hankel operators

Patrick Gerard (LM-Orsay), Sandrine Grellier (MAPMO)

arxiv:1712.02073 v1 · 2017-12-06 · math.AP · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXY2ATWMNAZ7OR3LT6XUSFP4WM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:07:37.561619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df1a04ecc6833f7476b9faf4915fcb327cedd9061d4acd07d96496af9c92017

Aliases

arxiv: 1712.02073 · arxiv_version: 1712.02073v1 · doi: 10.48550/arxiv.1712.02073 · pith_short_12: NXY2ATWMNAZ7 · pith_short_16: NXY2ATWMNAZ7OR3L · pith_short_8: NXY2ATWM

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/NXY2ATWMNAZ7OR3LT6XUSFP4WM \
  | 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: 6df1a04ecc6833f7476b9faf4915fcb327cedd9061d4acd07d96496af9c92017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f482c9932ca329456db538ba7cb35291d052e9a97675dbd9df0ae17b8374df",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-06T07:54:05Z",
    "title_canon_sha256": "98a2516c932c2fc2237e375f2e102860fe2b644c47a72f21f0510d3bcabc5069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02073",
    "kind": "arxiv",
    "version": 1
  }
}